Question

A right triangle has legs that are 10.1 inches and 12.2 inches long. what is the approximate length of the hypotenuse?

Answer 1

A^2+b^2=c^2

(10.1)^2+(12.2)^2=c^2
102.01+148.84=c^2
250.85=c^2
15.8=c

Hypotenuse is approx 15.8 inches

Answer 2

Answer:

The approximate length of the hypotenuse is $15.8\ in$

Step-by-step explanation:

we know that

In a right triangle

The Pythagoras Theorem states that

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

where

c is the hypotenuse (greater side)

a,b are the legs

In this problem we have

$a=10.1\ in$

$b=12.2\ in$

substitute

$c^{2} =10.1^{2}+12.2^{2}$

$c^{2} =250.85$

$c=15.8\ in$