4MA1/2H Jun 2019, Question 12: Using Trigonometry and Pythagoras Together
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks
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The question, in short
Trapezium ABCD has parallel sides BC = 21.2 cm and AD, AB = 16.7 cm with right angles at A and B, and angle ADC = 43°. Find the perimeter to 3 significant figures.
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Solution · 4 marks
- 1Drop a perpendicular from C to AD at E: CE = 16.7, AE = 21.2
- 2ED = 16.7 ÷ tan 43° = 17.908…
- 3CD = 16.7 ÷ sin 43° = 24.486…
- 4AD = 21.2 + 17.908… = 39.108…
- 5Perimeter = 16.7 + 21.2 + 24.486… + 39.108… = 101.49… = 101
Answer101
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