Question

The hypotenuse in this 45-45-90 triangle is given. How would you find the length of a leg

of the triangle?
8 V2
45degrees

Answer 1

The length of the legs of the triangle is 8 units.

Explanation:

45-45-90 triangle

A 45-45-90 triangle is a special case of a right triangle in which both legs l have the same value and the hypothenuse is h. By the Pythagorean Theorem:

Hypothenuse of 8 V2

This means that

So

The length of the legs of the triangle is 8 units.