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In two right triangles, the right angle and one leg of 9 cm are equal, but the hypotenuses are 15 cm and 41 cm.
A student tries to apply RHS. What is the correct conclusion?

Class 9SSS and RHS CongruenceGeometry — Triangles
  • ARHS fails; the triangles are not congruent because hypotenuses differ
  • BRHS still applies
  • CThey are congruent by SSS
  • DThey are congruent by AAA

Step-by-Step Solution

RHS needs equal hypotenuses. Here 15 ≠ 41, so the condition is not met and the triangles are not congruent.
Answer: A) RHS fails; the triangles are not congruent because hypotenuses differ

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