Question

a wall in marias bedroom is in the shape of a trapezoid. the wall can be divided into a rectangle and a triangle. using the 45 - 45 - 90° triangle theorem, find the value of h, the height of the wall.
13√2 ft
13 ft
6.5√2 ft
6.5 ft

Explanation:

Step1: Recall 45 - 45 - 90 triangle ratio

In a 45 - 45 - 90 triangle, the ratio of the sides is $1:1:\sqrt{2}$. Let the legs be $x$ and the hypotenuse be $x\sqrt{2}$.

Step2: Set up equation for hypotenuse

Given hypotenuse $x\sqrt{2}=13\sqrt{2}$, then $x = 13$.

Answer:

13 ft