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Which is the correct order of sides (shortest to longest) in triangle PQR where angle P = 50°, angle Q = 60°, angle R = 70°?

Class 7The Triangle and its PropertiesTriangles
  • AQR, PR, PQ
  • BPQ, PR, QR
  • CPR, QR, PQ
  • DQR, PQ, PR

Step-by-Step Solution

The side opposite the smallest angle is shortest. Smallest angle is P (50°), opposite QR — shortest. Then Q (60°) opposite PR. Largest R (70°) opposite PQ — longest. Order: QR, PR, PQ.
Answer: A) QR, PR, PQ

Key idea: Side-angle relationship

**The longest side of a triangle is opposite the largest angle. The shortest side is opposite the smallest angle.**

In an isosceles triangle, the two equal sides face equal angles. In an equilateral triangle, all sides equal → all angles 60°.

This lets you order sides if you know the angles, or vice versa, even without computing exact values.

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