Question

In the given figure, O is a point inside a ∆PQR such that ∠PQR such that ∠POR = 90⁰ , OP = 6cm and OR = 8cm. If PQ = 24cm and QR = 26cm, prove that ∆PQR is right-angled.

Answer 1

Applying Pythagoras theorem in right-angled triangle POR, we have:

Therefore, by applying Pythagoras theorem, we can say that ∆PQR is right-angled at P.