Question

In triangle PQR, 2 = p + q?. P g р R Which equation is true about the measure of the angles of the triangle? mZPRQ = 100 degrees O mZPQR+mZQPR = 70 degrees mZPRQ = 90 degrees mZPQR+mZQPR = 80 degrees

Answer 1

We are given a triangle that follows the Pythagorean theorem. That is:

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

Since "r" is the side that is equal to the squares of the other two sides, this means that "r" is the hypothenuse. In a right triangle, the side that is opposite to the hypothenuse is always a 90 degrees angle, therefore:

$m\angle\text{PRQ}=90^0$

Since the angle, PRQ is opposite to side "r".