Exams › SSC CGL (Prelims) › General

Two right-angled triangular panels, LMN and PQR, have \(\angle M = \angle Q = 90^\circ\). If the hypotenuse \(LN\) equals \(PR\) and side \(LM\) equals \(PQ\), are the triangles congruent? If so, by what rule?

1. Yes, by SSS
2. Yes, by SAS
3. Yes, by RHS
4. Yes, by ASA

Correct answer: Yes, by RHS

Solution

Since both triangles are right-angled, the equal hypotenuse and one corresponding side are sufficient to establish congruence. This is exactly the RHS (Right angle-Hypotenuse-Side) criterion.

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