Question

A triangle has one leg of 32 inches and one leg of 18 inches. For the triangle to be a right triangle, which best represents the length of the hypotenuse

Answer 1

The option J 36.7 inches best represents the length of hypotenuse.

Explanation:

The question is incomplete, so below is the complete question:

A triangle has one leg of 32 inches and one leg of 18 inches. For the triangle to be a right triangle, which best represents the length of the hypotenuse?

F 34.2 inches G 36 inches H 41.8 inches J 36.7 inches.

Now, to find the hypotenuse.

Leg 1 = 32 inches.

Leg 2 = 18 inches.

Now, to get the hypotenuse we use pythagoras theorem:

`(Leg1)^2+(Leg2)^2=(Hypotenuse)^2`

`(32)^2+(18)^2=(Hypotenuse)^2`

`1024+324=(Hypotenuse)^2`

`1348=(Hypotenuse)^2`

Using square root on both sides we get:

`36.7=Hypotenuse`

`Hypotenuse=36.7\ inches.`

Therefore, the option J 36.7 inches best represents the length of hypotenuse.