Question

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

Answer 1

Answer:

$22\sqrt 2$ cm

Step-by-step explanation:

$in \: a \: 45 \degree - 45 \degree - 45 \degree \: \triangle \\ leg = \frac{1}{ \sqrt{2} } \times hypotenuse \\ \\ \therefore \: 22 = \frac{1}{ \sqrt{2} } \times hypotenuse \\ \\ \purple{ \bold{ \therefore \: hypotenuse = 22 \sqrt{2} cm}}$