# A 45-45-90 triangle has a hypotenuse of length 14 units. What is the length of one of the legs?

##### 1 Answer

One side length is equal to

#### Explanation:

We can start off by establishing that this triangle is a right, isosceles triangle. We can say this because of the **converse of the isosceles triangle theorem**, which states if two angles are congruent, then then 2 sides are congruent.

What we can conclude from the previous statement, is that the two legs are equal length. Therefore, we can use a modified version of the Pythagorean Theorem. That is, since

We know that the hypotenuse is

That leaves us with