4MA1/1H Jan 2019, Question 8: Pythagoras' Theorem
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
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The question, in short
An isosceles triangle has two equal sides of x cm and a base of 5 cm, with area 12 cm². Find its perimeter, giving the answer to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 11/2 × 5 × h = 12
- 2h = (12 × 2) / 5
- 3h = 4.8
- 4x² = 2.5² + 4.8²
- 5x² = 6.25 + 23.04
- 6x² = 29.29
- 7x = √29.29
- 8x = 5.41
- 9perimeter = 2 × 5.41 + 5
- 10perimeter = 10.82 + 5
- 11perimeter = 15.8
Answer15.8
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