In the previous post, we have proved the converse of the Pythagorean Theorem. In this post, we will prove that the diagonals of a rhombus are perpendicular to each other. That is, if we have parallelogram ABCD with diagonal and , then is perpendicular to .
What We Know
A rhombus is a parallelogram with four congruent sides. So, all sides of rhombus ABCD are congruent. That is