GCSE Maths Practice: pythagoras-theorem

Question 2 of 10

This question involves finding a missing side of a right-angled triangle to the nearest whole number.

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\( \begin{array}{l}\text{In a right-angled triangle, one side is 10 cm and the hypotenuse is 14 cm.}\\ \text{Find the missing side length to the nearest whole number.}\end{array} \)

Choose one option:

Subtract the square of the known side from the hypotenuse squared, then take square root.

In a right-angled triangle with one side 10 cm and hypotenuse 14 cm, apply Pythagoras' Theorem: h^2 = 14^2 - 10^2 = 196 - 100 = 96. Then h = √96 ≈ 9.8 cm, rounding to 10 cm. Practising missing side problems strengthens understanding of the theorem, enhances numerical accuracy, and develops geometric reasoning skills needed for GCSE problems.