Question

If in a parallelogram, the diagonals are equal
in length and intersect at right angles, prove
that the parallelogram will be a square.

Answer 1

Answer:

Here we will prove that if in a parallelogram the diagonals are equal in length and intersect at right angles, the parallelogram will be a square. To prove: PQRS is a square, i.e., PQ = QR = RS = SP and an angle, say ∠SPQ = 90°. ...