MathsCongurencyTrianglesRHS Condition for Congruence

RHS Condition for Congruence

Table of Contents

  • RHS (Right angle – Hypotenuse – Side) Congruence Condition
  • Summary
  • What’s Next?

In the previous segment, we learnt about ASA and AAS conditions for congruence. In this segment of the chapter of ‘Congruence of Triangles’, we will learn what is the RHS condition for congruence.

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    What is RHS (Right angle – Hypotenuse – Side) congruence condition?

    RHS (Right angle – Hypotenuse – Side) condition is applicable only for right angled triangles.

    This condition says that 2 right angled triangles are congruent if the hypotenuse and one side of a triangle are respectively equal to the hypotenuse and a side of another triangle.

    In △ABC and △PQR, AC and PR are the hypotenuses.

    Fig 1

    BC = QR = 4 units AC = PR = 5 units

    m∠ABC = m∠PQR = 90° (Right angle)

    This satisfies the RHS congruence condition.

    Hence, △ABC and △PQR are congruent.

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