SSS Condition for Congruence

# SSS Condition for Congruence

• SSS (Side – Side – Side) Congruence Condition
• AAA Condition
• Summary
• What’s Next?

In the previous segment, we saw when two triangles are congruent. In this segment of the

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chapter of ‘Congruence of Triangles’, we will see the SSS conditions for congruence.

## What is the SSS (Side – Side – Side) congruence condition?

SSS congruence condition says that if 3 sides of a triangle are respectively equal to the three sides of another triangle, the triangles will be congruent.

Consider two triangles, △ABC and △PQR.

Fig 1

Here,

AB = PQ = 3 units BC = QR = 5 units AC = PR = 7 units

Thus, these two triangles are congruent as all the three sides of the triangles are equal.

△ABC ≅ △PQR.

Can two triangles be determined congruent using AAA (Angle – Angle – Angle) condition?

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