A 45-45-90 triangle has a hypotenuse of length 14 units. What is the length of one of the legs?
One side length is equal to
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