4MA1/1FR Jan 2019, Question 18: Pythagoras' Theorem
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 4 marks
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The question, in short
Using a triangle PQR with S on PR and QS perpendicular to PR, given PS = 5 cm, SR = 10 cm and QR = 14 cm, calculate the length PQ.
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Solution · 4 marks
- 1In triangle QSR: QS² = 14² − 10² = 196 − 100 = 96
- 2In triangle QSP: PQ² = QS² + SP² = 96 + 5² = 121
- 3PQ = √121 = 11
Answer11
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