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Triangle LMN has LM = 9, MN = 12, NL = 15. Triangle RST has RS = 9, ST = 12, TR = 15. Which congruence statement correctly pairs equal sides?

Class 9SSS and RHS CongruenceGeometry — Triangles
  • ATriangle LMN is congruent to triangle RST
  • BTriangle LMN is congruent to triangle TRS
  • CThey are not congruent
  • DTriangle LMN is congruent to triangle STR

Step-by-Step Solution

Match equal sides in order: LM=9=RS, MN=12=ST, NL=15=TR, so L<->R, M<->S, N<->T. Thus triangle LMN is congruent to triangle RST by SSS.
Answer: A) Triangle LMN is congruent to triangle RST

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