Two-story A-frame house

The slanted lines are perpendicular, and the one in the bottom story bisects the angle. Show that red equals green, so the stories have the same height.

Scroll down for a solution to this problem.


Solution by Kamran Zamani.

Extend AB to C. Triangle ACD is an isosceles. So, AB=BC. Hence, triangles ABH and BCH’ are congruent.

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