Question

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, using the RHS congruence rule. In the case of congruent triangles, write the result in symbolic form:

∆ABC, ∠A = 90°, AC = 5 cm, BC = 9 cm.

∆PQR, ∠Q = 90°, PR = 8 cm, PQ = 5 cm.

Answer 1

Here, ∠A = ∠Q (= 90°) and side AC = side PQ ( = 5 cm).
But hypotenuse BC ≠ hypotenuse PR.
So, the triangles are not congruent.