MathsCongurencyTrianglesSSS Condition for Congruence

SSS Condition for Congruence

Table of Contents

  • 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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