Question

In ΔPQR, M∠Q=90, M ∈ QR and N ∈ PQ. Prove that PM²+RN² =PR²+MN².

Answer 1

In the attachment I have answered this problem.

Concept:

Pythagoras theorem :

In a right angle triangle square on the hypotenuse is equal to sum of the squares on the other two sides .

See the attachment for detailed solution