4MA1/1FR Jan 2023, Question 24: Pythagoras' Theorem
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 4 marks
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The question, in short
An isosceles triangle ABC has AB = 7 cm and AC = BC = y cm, with area 42 cm². Work out the value of y.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Height from C to AB = 2 × 42 ÷ 7 = 12 cm
- 2The height meets AB at its midpoint, so half of AB = 3.5 cm
- 3Pythagoras: y² = 3.5² + 12² = 156.25
- 4y = √156.25 = 12.5
Answer12.5
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