RHS Condition for Congruence | Class 9 Maths Triangles

# RHS Condition for Congruence | Class 9 Maths Triangles

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

In the previous segment, we learnt about SSS conditions for congruence. In this segment, 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.

## Related content

 What is the Triangle Inequality Theorem? Triangle Inequality Theorem – Example Triangles Inequality Theorem Congruent Figures | Class 9 Maths Triangles Example, Figures Congruence of Two Triangles Correspondence between Vertices of Congruent Triangles Class 9 Condition for Congruence of Triangles – Example Class 9 Condition for Congruence of Triangles – Example SAS Condition for Congruence Class 9 ASA and AAS Condition for Congruence

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