Question

A right triangle has legs measuring 16 inches and 20 inches what is the length of the hypotenuse

Answer 1

Answer:

The length of the hypotenuse is $4\sqrt{41}\ in$

Step-by-step explanation:

we know that

In a right triangle

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

where

c is the hypotenuse

a,b are the legs of the right triangle

substitute the values

$c^{2}=16^{2}+20^{2}$

$c^{2}=256+400$

$c^{2}=656$

$c=\sqrt{656}\ in$

Simplify

$c=4\sqrt{41}\ in$