Question

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

Answer 1

C2 = a2 + b2
c2 = 20^2 + 28^2
c2 = 400 + 784
c2 = 1184
c = 34.4

Answer 2

Answer: 34.4 inch

Step-by-step 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

$H^2=20^+28^2\\\\\Rightarrow H^2=400+784\\\\\Rightarrow H^2=1184\\\\\Rightarrow H=\sqrt{1184}\\\\\Rightarrow H=34.4093010682\approx34.4\ in$

Thus, the  length of the hypotenuse = 34.4 inch