Question

The hypotenuse of 45 -45 90 triangle measure 22/2 units

Answer 1

Answer:

The lenght of one leg is 22 units

Explanation:

Given

$h = 22\sqrt 2$ --- hypotenuse

Required

The length of one side (l)

In a 45-45-90 triangle, the two sides are equal; i.e.

$x^2 + y^2 = h^2$

Where:

$x = y$ --- the legs of the triangle

So, we have:

$x^2 + x^2 = (22\sqrt{2})^2$

$2x^2 = (22\sqrt{2})^2$

This gives:

$2x^2 = 968$

Divide both sides by 2

$x^2 = 484$

Take square roots of both sides

$x = \sqrt{484}$

$x=22$