4MA1/1FR Jun 2022, Question 27: Pythagoras' Theorem
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 6 marks
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The question, in short
Using right-angled triangles ABC and DAC with BC = 6 cm and AC = 7.5 cm, and quadrilateral ABCD area 31.5 cm², find the length of AD.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 6 marks
- 1AB² = 7.5² − 6² = 20.25, so AB = 4.5 cm
- 2Area of triangle ABC = ½ × 6 × 4.5 = 13.5 cm²
- 3Area of triangle DAC = 31.5 − 13.5 = 18 cm²
- 4½ × 7.5 × AD = 18, so AD = 18 × 2 ÷ 7.5 = 4.8
Answer4.8
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