Find the length of the leg If your answer is not an integer

Find the length of the leg. If your answer is not an integer, leave it in simplest radical form.

A.

B.

288

C.

24

D.

Solution

Solution:

Since triangle is right

therefore

Length of leg let = x

therefore

cos(45) = length / hypotenuse = x /24

1/2 = x/24

x = 24 /2

x = 122

Option (D) 122 is correct