GCSE Maths Practice: pythagoras-theorem

Question 4 of 10

This question asks for the exact hypotenuse in simplest radical form for an isosceles right-angled triangle.

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\( \begin{array}{l}\text{In a right-angled triangle, two sides are both 5 cm.}\\ \text{Find the exact hypotenuse length in simplest form.}\end{array} \)

Choose one option:

Combine like terms under the square root and simplify to lowest radical form.

For a triangle with two equal sides of 5 cm, the hypotenuse is √(5^2 + 5^2) = √50 = 5√2. Expressing the answer in simplest radical form ensures exact values and develops understanding of square roots. Practising this improves algebraic manipulation and precision, key for GCSE geometry questions.