Question

He length of the hypotenuse of a right triangle is 24 inches. if the length of one leg is 8 inches, what is the approximate length of the other leg? 16.0 inches 18.4 inches 22.6 inches 25.3 inches

Answer 1

22.6

Explanation:

a^2 + b^2 = c^2 We know one of the legs and the hypotenuse. The hypotenuse must be c. The leg that we do know can be a or b. It is our choice. I am going to let it be a

8^2 + b^2 = 24^2 Plug in the numbers that I know

64 + b^2 = 576 Square the numbers that I know

b^2 = 512 Subtract 64 from both sides

b = 22.6 Put this in your calculator to find the square root and round.