Question

In triangle PQR, r2 = p2 + q2.

Answer 1

The measure of angle PRQ = 90 degrees

Answer 2

Answer: The measure of ∠PRQ is equal to 90 degrees.

Step-by-step explanation:

Given: In triangle PQR,

$r^2=p^2+q^2$

By converse of Pythagoras theorem,

Δ PQR must be a right triangle.

And in right  triangle, the angle opposite to the longest side is right angle.

Therefore, ∠PRQ=90°

∴ The measure of ∠PRQ is equal to 90 degrees.

• The converse of Pythagoras theorem says that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.