Question

in triangle PQR if pq=10cm qr=8cm and pr=6cm then angle R​

Answer 1

Answer:

r will measure 5 cm if pq is 10 cm and is 8 cm and pr is 6

Answer 2

Answer:

∠R = 90°

Step-by-step explanation:

Given,

In triangle PQR,  PQ=10cm QR=8cm, and PR=6cm

Required to find,

The measure of ∠R

The theorem used,

The converse of Pythagoras theorem

If the sum of squares of two sides of a triangle is equal to the square of the third side, then the triangle is a right-angled triangle.

Here,

QR² +PR² = 8²+6² = 64+36 = 100

PQ² = 10² = 100

QR² + PR² = PQ²,

Hence, by the converse of the Pythagoras theorem, ΔPQR is a right-angled triangle with hypotenuse PQ.

Since ΔPQR is a right-angled triangle with hypotenuse PQ, then the right angle is the angle opposite to the hypotenuse, that is ∠R

∴∠R = 90°