Question

In a 45-45-90- triangle what is the length of the hypotenuse when the leg is 22 cm

Answer 1

`22\sqrt 2` cm

Explanation:

`in \: a \: 45 \degree - 45 \degree - 45 \degree \: \triangle \\ leg = (1)/( √(2) ) * hypotenuse \\ \\ \therefore \: 22 = (1)/( √(2) ) * hypotenuse \\ \\ \purple{ \bold{ \therefore \: hypotenuse = 22 √(2) cm}}`