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This file contains; This slide One slide of questions based on using Pythagoras

This file contains; This slide One slide of questions based on using Pythagoras One slide of questions based on using standard trigonometry One slide of questions based on using the cosine rule One slide of questions based on using the sine rule

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This file contains; This slide One slide of questions based on using Pythagoras

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  1. This file contains; • This slide • One slide of questions based on using Pythagoras • One slide of questions based on using standard trigonometry • One slide of questions based on using the cosine rule • One slide of questions based on using the sine rule • One slide of questions based on using the sine rule for area • One slide containing answers Slides aren’t titled to make students think further.

  2. Is this triangle drawn accurately? 23 cm ? 28 cm 10 cm 44 cm 24 cm 66 cm 10 cm What is the maximum length umbrella that can fit into a suitcase of these dimensions? Height = ? 15 cm 66 cm  44 cm  23 cm * not a right-angled triangle

  3. 2 ? 30 ? 20 cm B C The graph of y = sinxis shown below. What are the coordinates of a, b, c and d? a A X D b d ABCD is a parallelogram. AX = 4 cm BC = 8 cm BAD = 48 Calculate the length of the longer diagonal. c

  4. ? 30 cm 20 cm 20 cm 10 cm 10 cm 100 ? Drawn accurately? ? In the triangle PQR, PQ = 4 cm QR = 5 cm PQR = 225 Calculate the length of PR. 20 cm 70 10 cm

  5. 10 cm 75 10 cm ? 30 30 ? 20 cm 10 cm 60 10 cm ? ? 15 cm 20 20

  6. 20 cm 20 cm Area = ? ? 75 15 cm 15 cm 75 25 cm 15 cm Area = ? ? Area = 200 cm2 20 cm 20 cm Give both possible answers

  7. Answers Pythagoras (the one with the suitcase) • No, 102 + 242 ≠ 282 non RA. • 82.59 cm • (5√7)/2 ≈ 6.61 • 82.59 cm (same answer as question 2) Standard Trig (the one with the sin graph) • (20√3)/3 ≈ 11.55 • 45° • 12.27 cm • (90, 1), (180,0), (270,-1), (540,0) Cosine Rule (one with the worded question) • 23.86 cm • 180°  not a triangle (check the lengths) • 21.07 cm • (41+20√2)½ ≈ 8.32 cm Sine Rule (the other one) • 5√6+5√2 ≈ 19.31 cm • 90° • 19.69 cm • 129.13° Sine Rule for Area (one about areas) • 60° • (75√6+75√2)/2 ≈ 144.89 cm2 • 20.615 cm and 40.31 cm • 128 cm2

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