Question

height and base of a right angled triangle are 24 cm and 18 cm find the length of its hypotenus

Answer 1

we know that
${h}^{2} = {p}^{2} + {b}^{2} \\ {h}^{2} = {24}^{2} + {18}^{2} \\ {h }^{2} = 576 + 324 \\ {h }^{2} = 900 \\ h = \sqrt{900 } \\ h = 30cm$

Answer 2

Given - Height and base

Find - Length of the hypotenuse

Solution - The length of the hypotenuse of a given right-angled triangle is 30 centimetres.

The length of the hypotenuse can be calculated using the Pythagoras theorem. As per the Pythagoras theorem -

hypotenuse² = base² + height².

Hence, keeping the values in the formula to find the length of the hypotenuse.

Hypotenuse² = 18² + 24²

Hypotenuse² = 324 + 576

Hypotenuse² = 900

Hypotenuse = ✓900

Hypotenuse = 30 centimetres.

Thus, the length of the hypotenuse of a given right-angled triangle is 30 centimetres.