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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 -

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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, ∠B = 90°, AC = 8 cm, AB = 3 cm.

∆PQR, ∠P = 90°, PR = 3 cm, QR = 8 cm.

Sum

Solution


Here,
∠B = ∠P = 90º,
hypotenuse, AC = hypotenuse, RQ (= 8 cm) and
side AB = side RP ( = 3 cm)

So, ∆ABC ≅ ∆RPQ.....................(By RHS Congruence rule).

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