Question

PLEASE HELP ME The length of the one of the legs of a right triangle is 8m and the hypotenuse is 12m. Which of the following choices is the length of the other leg? 5 4 5 None of these choices are correct.

Answer 1

The length of the other leg is 8.94 m.

Explanation:

Given that,

Hypotenuse of a right triangle is 12 m

The length of the one of the legs of a right triangle is 8 m

We need to find the length of the other leg. It is based on the concept of Pythagoras theorem. Let the other leg is h. So, according to this theorem,

`H^2=b^2+h^2`

H = hypotenuse = 12 m

b = base = 8 m

`h^2=H^2-b^2\\\\h^2=12^2-8^2\\\\h=√(80)\\\\h=8.94\ m`

So, the length of the other leg is 8.94 m.