Question

In a right angled triangle, if length of hypotenuse is 25 cm and height is 7 cm, then what is the length of its base?

Answer 1

Let ∆ABC be the given right angled triangle.

AC = 25 cm, AB = 7 cm

In ∆ABC, ∠B = 90°   ...[Given]

∴ AC² = AB² + BC²    ...[Pythagoras theorem]

∴ 25² = 7² + BC²

∴ 625 = 49 + BC²

∴ BC² = 625 – 49

∴ BC² = 576

∴ BC = 24 cm   ...[Taking square root of both sides]

∴ The length of the base of the given right angle triangle is 24 cm.