Question

A right triangle has legs measuring 20 in. and 28 in.

What is the length of the hypotenuse?

Round to the nearest tenth.

8.0in.

19.6in.

34.4in.

1184.0in.

Answer 1

34.4in

Explanation:

k12 and the dude above me

Answer 2

Answer: 34.4 inch

Explanation:

We know that the Pythagoras theorem says that in a right triangle the square of hypotenuse is equal to the sum of the squares of the legs of the triangle.

Let H be the hypotenuse.

Therefore for the given right triangle , we have

`H^2=20^+28^2\\\\\Rightarrow H^2=400+784\\\\\Rightarrow H^2=1184\\\\\Rightarrow H=√(1184)\\\\\Rightarrow H=34.4093010682\approx34.4\ in`

Thus, the length of the hypotenuse = 34.4 inch