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The sides of triangle ABC are AB = 5 cm, BC = 6 cm and CA = 7 cm.
Arrange the three angles in increasing order.

Class 9Inequalities in a TriangleGeometry — Triangles
  • Aangle C < angle A < angle B
  • Bangle B < angle A < angle C
  • Cangle A < angle C < angle B
  • Dangle C < angle B < angle A

Step-by-Step Solution

Larger side faces larger angle. Sides: AB=5 smallest, BC=6, CA=7 largest. angle C (opp AB=5) smallest, angle A (opp BC=6) middle, angle B (opp CA=7) largest. Increasing order: angle C < angle A < angle B.
Answer: A) angle C < angle A < angle B

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