Question

In ∆ PQR ; PQ =√8 , QR = √5 , PR = √3 . Is ∆ PQR a right angled triangle ? If yes, which angle is of 90° ?

Answer 1

Checking whether PQR=90°
By Pythagoras Theorem

(√8)²=(√5)²+(√3)²
8=5+3
8=8
LHS=RHS

Hence, ΔPQR is a right angle triangle.

The right angle is always opposite to hypotenuse. Here, hypotenuse is PQ. Therefore, the angle opposite to it is 90°, i.e. angle PRQ.

Answer 2

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