# How do you find the lengths of the sides of a right triangle given the legs x and x and the hypotenuse 8?

##### 1 Answer

Mar 7, 2016

#### Answer:

#### Explanation:

The Pythagorean Theorem gives the relations between the legs

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

Here, since the legs are both

#x^2+x^2=8^2#

Combine the

#2x^2=64#

Divide both sides by

#x^2=32#

Take the square root of both sides. (Only take the positive root--a negative side length wouldn't make any sense.)

#x=sqrt32#

Simplify the term in the square root.

#x=sqrt16sqrt2#

#x=4sqrt2#