# If one leg of a triangle is 4 feet and the other leg is 12 feet, what is the hypotenuse?

##### 1 Answer

Jan 2, 2016

#### Explanation:

The Pythagorean Theorem states that

#a^2+b^2=c^2#

where

So, we know that

#4^2+12^2=c^2#

#16+144=c^2#

#c^2=160#

#c=sqrt160#

#c=sqrt(16xx10)#

#c=sqrt16xxsqrt10#

#c=4sqrt10approx12.6491#