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Meera says two triangles with sides {5, 5, 8} cm and {5, 8, 8} cm cannot be congruent.
Is she right?

Class 9Criteria for CongruenceGeometry — Triangles
  • AYes, their side multisets differ so SSS fails
  • BNo, they are congruent by SSS
  • CNo, by SAS
  • DOnly if angles are equal

Step-by-Step Solution

Congruent triangles need identical side sets. {5,5,8} not equal {5,8,8}, so they cannot be congruent.
Answer: A) Yes, their side multisets differ so SSS fails

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