What is rhs congruence
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Hiii!!! In a right-angled triangle, the hypotenuse and one other side in the first triangle are equal to the hypotenuse and corresponding side in the second triangle (the RHS rule: Right-angled, Hypotenuse, Side). Hope it helps
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Hey there !
In a right-angled triangle, the hypotenuse and one other side in the first triangle are equal to the hypotenuse and corresponding side in the second triangle (the RHS rule: Right-angled, Hypotenuse, Side).
. ∆PQR is an isosceles triangle such that PQ = PR, prove that the altitude PO from P on QR bisects PQ.
Solution:
In the right triangles POQ and POR,
∠POQ = ∠POR = 90°
PQ = PR [since, ∆PQR is an isosceles. Given PQ = PR]
PO = OP [common]
Therefore ∆ POQ ≅ ∆ POR by RHS congruence condition
So, QO = RO (by corresponding parts of congruence triangles).
Hope it helps you !
In a right-angled triangle, the hypotenuse and one other side in the first triangle are equal to the hypotenuse and corresponding side in the second triangle (the RHS rule: Right-angled, Hypotenuse, Side).
. ∆PQR is an isosceles triangle such that PQ = PR, prove that the altitude PO from P on QR bisects PQ.
Solution:
In the right triangles POQ and POR,
∠POQ = ∠POR = 90°
PQ = PR [since, ∆PQR is an isosceles. Given PQ = PR]
PO = OP [common]
Therefore ∆ POQ ≅ ∆ POR by RHS congruence condition
So, QO = RO (by corresponding parts of congruence triangles).
Hope it helps you !
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Anonymous:
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