Answer the questions in the spaces provided - there may be more space than you need. Welcome; Videos and Worksheets; Primary; 5-a-day. Give your answer correct to 1 decimal place. The profit from each revision guide is reinvested into making free content on MME, which benefits millions of learners across the country. 3D Pythagoras (corbettmaths.com) Number - Decimals Adding Decimals (corbettmaths.com) Subtracting Decimals (corbettmaths.com) Multiplying Decimals Textbook (corbettmaths.com) Dividing Decimals by whole numbers pdf (corbettmaths.com) Statistics - Statistical Measures Averages and range (corbettmaths.com) Mean from a Frequency Table . N5 Maths Expressions & Formulae Unit Practice Assessment, 21. 4 0 obj Corbettmaths - A video that explains how to use Pythagoras Theorem. %PDF-1.3 corbett maths pythagoras answers - fondation-fhb.org. Teachit Maths also provides a 'Pythagoras' Theorem - complete topic booklet' which covers the full topic from . Pythagoras - Videos & PowerPoints . Conditions. Calculate the length MX. We can draw a diagram of the cone and look for the right-angled triangle. Pythagoras - Videos & PowerPoints . 3D Pythagoras is applying Pythagoras theorem to problems with 3 dimensions. Pythagoras theorem questions and answers corbettmaths arrow_back in Pythagoras (2D and 3D) Whether you want homework, some cover work, or a lovely bit of extra practice, this is the place for you. Give your answer correct to 3 significant figures. Find the length BH. National 5 Mathematics Success Guide provides easy-to-use and value-for-money revision for all abilities and learning styles. The checklists for the three different units is very helpful and I will definitely be taking these to school with me on the day of my exam to look over! Our customer service team will review your report and will be in . Rounding too soon will lose accuracy. Consider the triangle formed by this line, the line which goes from the centre to C, and the line EC. Circles - Pythagoras, Arc Length & Sector Area, Converse of Pythagoras - Paper 2, Question 6, Pythagoras Self Assessment - S1 & S2 Level, Pythagoras & Circles - Exam Type Questions, Pythagoras - Converse of Pythagoras Question 3, Check List 1 - Linking TJ N5 Text Book to Past Papers, Excellent resource linking N5 TJ Book to Past Paper Questions - Thanks to CHS School, Check List 7 - Facts NOT given in the N5 Maths Exam, Check List 8 - Whole Course List of Topics, Excellent check list for teachers & pupils to help track course progress, 2022 P1 Essential Skills (Non-Calculator), 2022 Essential Skills Additional Ques (Calculator). Thanks to the SQA and authors for making the excellent resources below freely available. 259. Names Video 3 Practice Questions Textbook Exercise. 2. Give your answer correct to 3 significant figures. Thanks for all the help and keep up the good work. Videos worksheets 5-a-day and much more. The exercises below are a fantastic resource which can also be used for revisionprior to assessments, tests and the final exam. I regularly upload resources that I have created during 30 years as a teacher. This website and its content is subject to our Terms and This is useful as we need the slant length in order to find the curved surface area of a cone. These videos are made by the \sqrt{2} . We are going to find the length AG in the cuboid ABCDEFGH. Sign Up Now. There is a worksheet for pupils with some scaffolding at the start for practice too. Lesson complete 5 69 reviews. The length AG is 15.8 cm (to 1 decimal place). ~eNL@'PsPYfp?gq-3CsFjE VJ' 760+ Math Consultants 9.1/10 Ratings 25387+ Customers The worksheets by topic below are a fantastic study resource since they are actual SQA past paper exam questions. Instructions Use black ink or ball-point pen. Thanks to the authors for making the excellent resources below freely available. for starting to use Pythagoras to find the height, h=\sqrt{17^2 5^2} = 2\sqrt{66} = 16.24807 100 N5 Maths Exam Questions & Answers, 18. I was very happy to discover the many practice papers you have as I had began to run out of papers to do once completed all the SQA past papers. for finding the area of the triangle, Volume = 10\sqrt{66} \times 25 = 2031.0096 for finding the volume of the triangular prism. It really is one of the very best websites around. Your website content definitely helped clarify and consolidate my understanding of the subject. H}3{HVJ/~}??aB7GPes'}waM=4Nm3qa]]qHzTfqkm[OUM=1L~q`u C.fn}s>T &O]e=G}7} nT$1Q )Kc=NaVmbvU6 The slant length of the cone is 12.8 cm (to 1 decimal place). 3 5 customer reviews. Information One side is 14cm and another is 18cm. Report this resourceto let us know if it violates our terms and conditions. October 4 2019 corbettmaths. Pythagoras' theorem states that, in any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares on the other two sides. My son who is in S2 will benefit from these, now and in future, as will my daughter when she moves up to S1 after summer. So, DrFrostMaths provides an online learning platform, teaching resources, videos and a bank of exam questions, all for free. Online exams, practice questions and revision videos for every GCSE level 9-1 topic! Please use the below forrevisionprior toassessments, tests and the final exam. 100% Free. 260. . Give your answer correct to 1 decimal place. Please read our, How to solve problems using 3D Pythagoras, Use and apply Pythagoras theorem to solve problems in three dimensions. Privacy Policy & Cookies | I feel that I have progressed enormously with my Maths and I would encourage all pupils who are struggling to go onto this website as soon as possible., I am studying Maths at College since it a requirement for me to train to become a primary school teacher. Pythagoras: 3D Video 259 Practice Questions Textbook Exercise. I subscribed when I was studying for my National 5 exam (as an adult learner) and found it invaluable. 3 marks Level 6-7 GCSE. GCSE 9-1 Exam Question Practice 3D Pythagoras Trigonometry Subject. Please use the below for revision prior to assessments, tests and the final exam. Most of these are maths but there are some ICTComputing. These are the Corbettmaths Textbook Exercise answers to Percentage of an Amount (non-calc) Percentage of a Quantity, Non-Calculator. So once again, thank you so much!!! Just had a look at the worked solutions for the 2018 N5 Math Past Paper Calculator was absolutelyfine, but some tricky questions in non-calculator part, particularly 19b. Through step-by-step worked solutions to exam questions available in the Online Study Pack we cover everything you need to know aboutPythagoras to pass your final exam. 2023 Third Space Learning. This is useful as we need the height in order to find the volume of a cone. Using Pythagoras in 3D. CE =\sqrt{81+36+144}=\sqrt{261}=3\sqrt{29} cm. Trigonometry Video 329, 330, 331 on www.corbettmaths.com Question 3: Find the size of the missing angles/sides labelled x below. Clear, easy to follow, step-by-step worked solutions to all N5 Maths Questions below are available in theOnline Study Pack. This field is for validation purposes and should be left unchanged. Here, we observe the distance from the centre to C is half the distance from A to C. Given that we know the width of the square-based triangle, we can find the length of AC, halve it, and then use the result as a part of Pythagoras theorem to find the perpendicular height. Corbettmaths - A video on 3D Pythagoras. . PYTHAGORAS BASICS 1 TRANSUM . for using Pythagoras to find DF. When you visit or interact with our sites, services or tools, we or our Names Video 3 Practice Questions Textbook Exercise. October 4 2019 corbettmaths. . There is no one-size-fits-all method for success, so finding the right method . A lesson introducing Pythagoras' theorem in 3D, assuming prior knowledge in 2D. This category only includes cookies that ensures basic functionalities and security features of the website. Fill in the boxes at the top of this page with your name, centre number and candidate . for finding the slant length, h=\sqrt{(\frac{80}{\pi})^2-10^2}=23.419128 Thanks so much. Pythagoras Video 257. Pythagoras: 3D Practice Questions answers Textbook answers. Give your answer correct to 1 decimal place. It is mandatory to procure user consent prior to running these cookies on your website. Give your answer correct to 1 decimal place. Give your answer correct to 3 significant figures. Pythagoras on a graph Practice Questions answers Textbook answers. << /Length 5 0 R /Filter /FlateDecode >> Videos worksheets 5-a-day and much more. Question 3: PQR is a right-angled triangle. Thanks to the SQA and authors for making the excellent resources below freely available. Thank you the best 9.99 Ive spent in a long time! The book ends with a Revision Chapter, consolidating the whole of the National 5 Course. Question 4: LMN is a right-angled triangle. 4 0 obj 333. _H)2NgiAU/Ti[4Ry _+V^H-. Pythagoras Textbook Exercise Corbettmaths. N5 Maths Videos, PowerPoints, Mind Maps & Worksheets, 12. aid the teaching and learning of this topic. Each exercise is graded with the more problematic questions at the end. We can also use a special 3D Pythagoras Theorem for cuboids where x, y, z are the sides of a cuboid and s is the longest diagonal in the cuboid. 8rC??YPufWyWs\wG/0aIXo [j Ydin^)$o@VXo7`s3A9weO("QXq*MByAQ>XEfcrB%$(0ty%`~SatZ&}O'#Ct#e(W,0r*Jm4D-cMT 3ILgF $A!;X'nD8RvHYJ2P Find the length of the diagonal line CE. Find the slant length of the cone with height 10 cm and radius 8 cm. 3D Pythagoras Worksheet 1: Worksheet 8: 3D Pythagoras Worksheet 2: Worksheet 9: Pythagoras - Exam Type Questions: Worksheet 10: Pythagoras - Converse of Pythagoras Question 3. Work out the volume of the prism. Free resources to dozens of National 5 Maths topics are available by clicking on any of the links to the right. The Corbettmaths Textbook Exercise on 3D Trigonometry. Hello, I am writing to thank you for your wonderful website! A!qso SPX evoM Rom MOkK!Uae honk sueMSke essuJ 3 dnsel!ou. area of a regular Give your answer to. A cone has a radius of 10 cm . Quick Tests and Top Tips help keep students focused on the exams precise demands alt[}2{4SDI6_C % Example 1: cones. \mathrm{d} \cdot \mathrm{p}) and we can see that edc also forms a right angled triangle so we know, \textcolor{black}{e}^2 + \textcolor{blue}{c}^2 =\textcolor{red}{d}^2. website for top-quality GCSE and A Level revision resources. A sound understanding ofPythagorasis essential to ensure exam success. 9 + b 2 = 25. b 2 = 25 9 = 16 = 4 2. b = 4. The slant length l is the hypotenuse of the right-angled triangle with the radius and the. Click on the links below and order both books through amazon.co.uk. If you would like more help understanding Pythagoras there are clear, easy to follow, step-by-step worked solutions to dozens of N5 Maths Past & Practice exam questions on all topics in the Online Study Pack. Our customer service team will review your report and will be in touch. These papers are in the same style and format as real exams. The profit from every pack is reinvested into making free content on MME. Menu Skip to content. ;%f}-},)>{Z3 AUVpnW(l>mr-r-h~x:(IiL_9Kz l(t#[0!,YdEP ; ;_;F'wOnc5CyWwBj9c:JPRtM(Lb_WIn)U='~UY{l/ First of all, we can work out the length of DB by Pythagoras or by recognizing that the diagonal of a square is \sqrt{2} \times \text{ side length}, thus: Hence the length from D to the centre of the square, O, is half this value. A string runs diagonally across the box from D to F. Calculate the length of the string DF. N5 Maths Relationships Unit Practice Assessment, 24. Please use the below forrevisionprior toassessments, tests and the final exam. << /Length 5 0 R /Filter /FlateDecode >> The Corbettmaths video tutorial on 3D Pythagoras. The diagram shows a box in the shape of a cuboid ABCDEFGH. We found the non-calculator paper much harder than five previous pastpapers. Prepare your KS4 students for maths GCSEs success with Third Space Learning. Please use the below forrevisionprior toassessments, tests and the final exam. pptx, 1.28 MB. Pythagoras tells us that c x2 y2 Now we make another triangle with its base along the x2 y2 side of the previous triangle and going up to the far. We can draw a diagram of the cone and look for the right-angled triangle. GCSE Maths Predicted Papers are perfect for preparing for your GCSE Maths exams. Videos worksheets 5-a-day and much more. Contains a National 5 Specimen Paper 1 and Paper 2. Can You Find Angle X? Make sure you use all of the digits on the calculator screen and only round your final answer at the end of the question. A good pass at N5 Maths will set you up well for the fast pacedHigher Maths Coursenext year should you be interested. Here we use 3D Pythagoras to find that CE is. Question 4: ABCDE is a square-based pyramid. Later on today my younger daughter will be using the free national 5 maths website. extra practise, this is the place for you. gcse practice papers corbettmaths web apr 1 2019 higher set b paper 2 calculator higher set b . Thanks to the SQA and authors for making the excellent resources below freely available. Copyright 2023 National 5 Maths | All rights reserved | Thanks to the authors for making the excellent resources below freely available. 100 N5 Maths Lesson Starter Questions, 19. Visit his excellent Passing N5 Maths significantly increases your career opportunities by helping you gain a place on a college course, apprenticeship or even landing a job. docx, 491.97 KB. Though others used the relationship long before his time, Pythagoras is the first one who made the relationship between the lengths of the sides on a right-angled triangle . So just wanted to say thanks very much! 1. AB=10 cm Evans Business Centre, Hartwith Way, Harrogate HG3 2XA. Estimated teaching time: Higher 1.0 hour - 2.0 hours. Stanley has drawn a right angle triangle. This 'Investigating the sides of right-angled triangles' worksheet from Teachit Maths is a straightforward activity in which students attempt to 'discover' Pythagoras' Theorem by drawing right-angled triangles and investigating the relationship between the lengths of their sides. Vertices edges faces Video 5 Practice Questions. The worked solutions are so clear and easy to follow and I just cannot thank you enough. Pythagoras on a graph Video 258. Names Video 1 Practice Questions Textbook Exercise. I will be continuing with this for Higher Maths and also for my younger child to ensure they are keeping up with the course. 3. BC = 25 cm. Mathster Content is a fantastic resource for creating online and paper ratings and homework. Tes Global Ltd is Here are the 3D Pythagoras questions from Corbettmaths - answers are below. Videos, worksheets, 5-a-day and much more worksheet, complete with answers. This website is just amazing!! Box 4523 Zanzibar TANZANIA Tel: +255 621 015 531 - Office Fax: +255 242 223 8475 Email: batting cages livermore. Explain your answer. Pythagoras: area of a regular hexagon Video 262. Pythagoras: 3D Video 259. Go to Content menu. Pythagoras' theorem can also be used to solve 3D problems. I am delighted to have just discovered the huge amount of resources for younger learners too. |lkPa.G6+wBCxMuzmRl2hKgTW Pythagoras: rectangles and iscosceles corbettmaths 143K subscribers Corbettmaths - This is part 2 of 3 of a trigonometry review. Site terms & conditions. We can see that the side we have labeled x forms the diagonal line of the base of the cuboid. x[7S(%~:dcY.0=1-JRgfM5RTUI}_? dRT {5.g[S2U[/u(J;#>I_q I]?L`}t}oz'h).=n@h6i{ )#'-?6Sn0 ]0DeL@uu$vOMCf^QBiao[Fj[5XwS8huW38i~8jwSYdH)he2(.~Qx8wa]'SR/4]b?goDe>?\R\ Here is a cuboid ABCDEFGH. We can see that we can make a right angled triangle ACG which we can use to work out AG. Please try to do as many questions as possible, checking your answers as you go. website for more videos, textbook exercises, exam questions, Question 3: The cuboid shown in the diagram below has the dimensions: 9 cm by 6 cm by 12 cm. Lesson 1. In 2015 N5 Maths replacedCredit Maths. h^2 &= 289 -144\\ Copyright 2014-2023 & All Rights Reserved. and 5-a-day. insert for the final answer. Something went wrong, please try again later. Resource type: Other. 5. Find the slant length of the cone with height 10 cm and radius 8 cm. 11. Pythagoras (569-475 BC) Pythagoras was an influential mathematician. Were using the advancedhighermaths.co.uk site and it is excellent. Links to the Best Maths Websites in the World, AQA Level 2 Certificate in Further Mathematics, Pythagoras on a And best of all they Corbettmaths - This video goes through a typical 3D trigonometry question - finding an angle in a cuboid. It helps students to focus on one subject at a time, gaining confidence as they work through the revision guides and self check booklets., The simplified methods in the study guides are easy to follow. Tes classic free licence. This website uses cookies to improve your experience while you navigate through the website. Clear, easy to follow, step-by-step worked solutions to all sixteen N5 MathsPast & Practice Papers below are available in theOnline Study Pack. Age range: 11-14. Give your answer correct to 1 decimal place. ;~r"g/B'_%4K+QRiE3]hX!pD?"'m?cAe+>]>a 3t|D|O The Corbettmaths Practice Questions on 3D TrigonometryPythagoras for Level 2 Further Maths. 1 1 decimal place. oybii7qvM]u File previews. Privacy Policy & Cookies Corbettmaths Videos, sheets, 5-a-day and much more. It covers finding missing sides of right angled triangles if given a side and an angle. 3D Pythagoras and Trigonometry is just adding a 3rd dimension. A selection of top quality videos, from the best of the web, to 3A tree is located in the corner of a rectangular eldThe eld is 10 metres long and 9 metres wideThe tree is 4 metres tallCalculate the length AE. Now we know FH, our first triangle, FCH, looks like this: Now, we know two side-lengths of this triangle, we can use Pythagoras theorem to find the third, FC, which is the answer to the whole question. Question 2: The cuboid shown in the diagram below has the dimensions: 9 cm by 6 cm by 12 cm. Here is a cuboid ABCDEFGH. Covers the whole of the National 5 Maths course, Resources used with students studying Maths in Scottish Secondary Schools. Just invest little grow old to gate this on-line statement Maths Calculator Higher Edexcel Paper Pdf as well as evaluation them wherever you are now. l^2 &= 8^2+10^2\\ Thanks for this fantastic website you have here. assessments. Your personal data will be used to support your experience throughout this website, to manage access to your account, and for other purposes described in our privacy policy. Site by Inigo. Thanks to the SQA and authors for making the excellent resources below freely available. 3. ("8zQzhPjkxAU0dpmZ;7s"qlY+l+JTe# Question 2: The Credit worksheets by topic below are a fantastic additional study resource. 10 NEW GCSE Courses added to the MME Learning Portal! utR9AqE[Q7zA distance between 2 points. 3D Pythagoras Textbook Answers - Corbettmaths 3D Pythagoras Textbook Answers Workout Question 1: (a) 7.071cm or 50cm or 52cm (b) 8.66cm or 75cm or 53cm Question 2: (a) 3.60555cm or 13cm (b) 6.32456cm or 40cm or 210cm (c) 6.7082cm or 35cm or 45cm (d) 7cm Question 3: (a) 10cm (b) 13.4164cm or 180cm or 65cm (c) 15 . Learn about and revise how Pythagoras' theorem can be used to calculate the sides of right-angled triangles with GCSE Bitesize AQA Maths. come with answers. *Zej][&)K3],Ds:\R:0.e They are only available on MME! \textcolor{red}{a} . All rights reserved.Third Space Learning is the trading name of Virtual Class Ltd, \[AC=\sqrt{10^2 + 4^2} = 2\sqrt{29} = 10.7703\], \[AG=\sqrt{10.7703^2 + 6^2} = \sqrt{152}=2\sqrt{38} = 12.328\], \[\begin{aligned} The website is helping me so much., The website is really good as it breaks the whole course down into easy to understand sections. With 3D Trigonometry, there is no trick, you need to solve each section in steps which makes it a harder topic. 3D Trigonometers Practice Questions - Corbettmaths Corbettmaths Practice Questions on 3D Trigonometers. They have kindly allowed me to create 3 editable versions of each worksheet complete with answers. 3D Pythagoras and Trigonometry Answers (MME) Author: MME Keywords: Maths Made Easy Created Date: 10/13/2020 2:18:38 PM. I got an A in my National 5 Maths Exam! Hello, I decided to write to you to thank you for this website, it has helped me incredibly and the amount of content you have is amazing. Question 1: (a) 7.071cm or 50cm or 52cm (b) 8.66cm or 75cm or 53cm. arrow_back Back to Pythagoras (2D and 3D) Pythagoras (2D and 3D): Worksheets with Answers. Many thanks for sharing. P.O. So in order to work out the longest side AG we first need to work out one of the shorter sides AC. If the sides of . These videos are made by Corbett Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. 2. N5 Maths Online Study Pack Students looking for a good Pass. a^2 + b^2 &= c^2 \\ They %PDF-1.3 \end{align*}\], \[\begin{align*} These cookies do not store any personal information. We also use third-party cookies that help us analyze and understand how you use this website. 2. 4. Finally, we consider again the first triangle, which we now know has base of 5\sqrt{2} cm, and calculate the perpendicular height. Videos worksheets 5-a-day and much more. . So we know that, c + z = s.Mar 30, 2012 2D shapes: quadrilaterals Practice Maths Made Easy gives you access to maths worksheets, practice . 3. PN"1>_B4B/VONlf;hy =WH+H%l%/IcTKJa4(n(oT8vTFE{35x\sTPzarS@@uCCFfDH-M&f"gkC'3J?S:&0aL76TVdWV0M@\pFn4?Z%)2P< r U(\e I=3U7Pn+PF[^U4y= Six Cumulative Home Exercises interspersed throughout the book. So C is missing the angle. Clear, easy to follow, step-by-step worked solutions to all 100 N5 Maths Questions below are available in the Online Study Pack. Thanks to the SQA and authors for making the excellent resources below freely available. Give your answer correct to 1 decimal place. Menu Skip to content. Menu Go to content 3d Pythagoras And Trigonometers Exam Questions Answers 3D PYTHAGORAS Answer questions indoors provided - there may be more space than you need to check your answers if you have time at the end. "Jk[J:tr] To access a wealth of additionalfree resourcesby topicplease either use the aboveSearch Baror clickHEREselecting on the topic you wish to study. Triangle ABX is an isosceles triangle. Clear, easy to follow, step-by-step worked solutions to all 30 Essential Skills worksheets are available in theOnline Study Pack. . If angles and lengths are involved in the problem, we may also need to use trigonometry. Date 22 Giugno 2022. An obelisk is situated in the corner of the Wield. Let the fantastic wealth of resources below teach you all about Pythagoras' Theorem. The height of the cone is 12.0 cm (to 1 decimal place). to see if you're on the right track. The length AG is 23.9 cm (to 1 decimal place). Revision checklists help students to manage and track their progress in the lead up to the exam &s=\sqrt{10^{2}+4^{2}+6^{2}} \\ Question 1: ABCDE is a square-based pyramid. &s^{2}=10^{2}+4^{2}+6^{2} \\ Therefore, the distance from the centre of the base to C is 5\sqrt{2}. And best of all they all (well, most!) Teaching resources. h^2=17^2 5^2 10 reviews. D-Jv_84{. 2019. AY =\sqrt{81+36+36}=\sqrt{153}=3\sqrt{17} cm. In this topic, we're going to focus on three trigonometric. I am really glad to have found this website to help me on my way.. 8^2 + 10^2 &= l^2\\ Give your answer correct to 1 decimal place. Something went wrong, please try again later. info@poshakalaya.com | +977-9864687047 what size beads for knitting. Thanks to the SQA and maths180.com for making the excellent resources below freely available. Can a 1m rod Wit inside this box. 3D Trigonometry Video 332 on Corbettmaths Question 1: Here is a cuboid. Be sure to visit his EH = 8cm, GH = 6cm, FH = 10cm and FHB = 40 (a) Work out the length BF (b) Work out the length BH (c) Work out the size of angle FBH Question 2: Here is a cube with side length 4cm. Pythagoras: proving a triangle is right-angled Video 261. 332. Please find below: 8. I regularly refer to the Theory Guides to help me understand topics I am struggling with. Thanks to the SQA and authors for making the excellent resources below freely available. Completing a task step-by-step can help ensure that it is done . Check your answers seem right. The Corbettmaths Practice Questions and Answers on 3D Shapes. Trigonometry - Angles: Practical questions answers to textbook answers. N5 Maths Applications Unit Practice Assessment, 20. Give your answer correct to 1 decimal place. 26. Give your answer correct to 1 decimal place. exam seating arrangement project with source code, objective questions and answers on law of contract, errores en el examen practico de conducir, examen clinique cancer broncho pulmonaire, corbettmaths exam style questions answers direct and inverse proportion, corbettmaths ratio exam questions answers, examen de religion sobre la creacion para segundo grado, corbettmaths bearings exam questions answers, nnaap nurse aide practice written exam answers, corbett maths fractions exam questions answers, corbett maths exam style questions answers surds, examen de transito para licencia estado de mexico, corbettmaths probability exam questions answers, bsc 2nd year exam date 2023 kanpur university. ({3U!M&l3>ZL"w:K@O?UD[z{J]F8(. Rather than reading a good book with a cup of coffee in the afternoon, instead they are facing with . }ExbM Videos, worksheets, 5-a-day and much more 3 2 + b 2 = 5 2. First of all we can work out the length of D B DB D B by Pythagoras or by recognizing that the diagonal of a square is 2 s i d e l e n g t h sqrt 2 times text.