Question

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

Answer 1

Answer:

Given: In △PQR

PQ=10 cm QR=12cm ,PR=8cm then we have to find the greatest and smallest angle.

As the length of side are in the same order as the measure of the angles opposite the lengths of sides. The greatest side is opposite to the greatest angle.

By using the properties of triangle , if one angle of a triangle is larger than the other angle, then the side opposite to the larger angle is greater than the side opposite to the smaller angle.

Longest side=QR=12cm

∴ Greatest angle measure is ∠P

Smallest side=PR=8cm

∴ Smallest angle measure is ∠Q

Answer 2

In ΔPQR

PQ = 10 cm

QR = 8cm

PR =6cm

PQ² = QR² + PR²

so Angle R = 90°