In ∆ PQR, ∠P = 70° and ∠R = 30°. Which side of this triangle is the longest? Give reason for your answer.

Solution:

It is given that

∠P = 70°

∠R = 30°

From the angle sum property

∠P + ∠Q + ∠R = 180°

Substituting the values

70° + ∠Q + 30° = 180°

∠Q + 100° = 180°

So we get

∠Q = 180° - 100°

∠Q = 80° is the greatest angle

The opposite side PR is the longest side.

Therefore, the side PR of this triangle is the longest.

✦ Try This: In ∆ ABC, ∠A = 60° and ∠C = 20°. Which side of this triangle is the longest? Give reason for your answer.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 7

NCERT Exemplar Class 9 Maths Exercise 7.2 Problem 8

In ∆ PQR, ∠P = 70° and ∠R = 30°. Which side of this triangle is the longest? Give reason for your answer

Summary:

In ∆ PQR, ∠P = 70° and ∠R = 30°. The side PR of this triangle is the longest as the side opposite to the greatest angle is longest

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