Question

In XYZ, XY = 10 cm, YZ = 12 cm, XZ = 8 cm. Find out the greatest and the smallest

angle of the triangle.
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Answer 1

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