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Two right triangles share equal hypotenuses of 20 cm. The first has legs 12 and 16; the second has legs 16 and 12.
Are the triangles congruent, and by which rule?

Class 9SSS and RHS CongruenceGeometry — Triangles
  • AYes, by RHS (and SSS)
  • BNo, the legs are in different order
  • CYes, by AAA only
  • DNo, hypotenuses must differ

Step-by-Step Solution

Both have the same set of sides {12,16,20} and a right angle. Order of legs does not matter for congruence; RHS (or SSS) applies.
Answer: A) Yes, by RHS (and SSS)

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