Question

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

Answer 1

Answer:

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

Step-by-step 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:

$2l^2 = h^2$

Hypothenuse of 8 V2

This means that $h = 8\sqrt{2}$

So

$2l^2 = h^2$

$2l^2 = (8\sqrt{2})^2$

$2l^2 = 64*2$

$l^2 = 64$

$l = \sqrt{64}$

$l = 8$

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