The diagonals of parallelograms and squares intersect each other
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It turns out that a parallelogram has its diagonals meeting at right angles if and only if the parallelogram is a rhombus (all sides equal). Note that a square is a special case of a rhombus. ... If the angle at which they meet is 90∘, then by the Pythagorean Theorem each side of the rectangle has length √p2+q2.
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