Question

A wall in Maria’s 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.

Answer 1

All 45,45,90 triangles will have sides in these ratios.

Answer 2

You can convenience yourself with Pythagoras theorem, noting if the angles are equal, the sides touching the 90 must be too.