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Three rods of lengths 6 cm, 8 cm and 11 cm are used to build a rigid triangular frame. A second frame uses rods 6 cm, 8 cm and 11 cm.
Why will the two frames have exactly the same angles?

Class 9SSS and RHS CongruenceGeometry — Triangles
  • ABy SSS the triangles are congruent, so corresponding angles are equal
  • BBecause all triangles with equal perimeter are congruent
  • CBecause angles do not depend on sides
  • DBy AAA the triangles are congruent

Step-by-Step Solution

Equal three sides means SSS congruence; by CPCT the corresponding angles are equal.
Answer: A) By SSS the triangles are congruent, so corresponding angles are equal

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