The three sides of a triangle are equal to the corresponding three sides of another triangle, then the triangles are congruent by which condition?

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Solution

When three sides of a triangle are equal to corresponding three sides of another triangle, the triangles are congruent by Side-Side-Side (SSS) congruence.

In the above figure,
AB = PQ
AC = PR
BC = QR
Since the sides of $△ A B C$ are equal to corresponding sides of $△ P Q R$ , $△ A B C ≅ △ P Q R$ by SSS criterion for congruency.

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