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For triangle ABC, it is given that angle A < angle B < angle C.
Kavya says CA < AB < BC. Is the chain correct?

Class 9Inequalities in a TriangleGeometry — Triangles
  • ANo, it should be BC < CA < AB
  • BYes, the chain is correct
  • CNo, all sides are equal
  • DNo, sides have no relation to angles

Step-by-Step Solution

Side opposite a larger angle is larger. Opposite A is BC, opposite B is CA, opposite C is AB. With angle A < angle B < angle C, the opposite sides satisfy BC < CA < AB. Kavya's chain CA < AB < BC is wrong; the correct increasing order is BC < CA < AB.
Answer: A) No, it should be BC < CA < AB

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