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S is a point on side QR of a triangle PQR. Show that: PQ + QR + RP 2PS

Given : A triangle PQR. A point S on QR.

To Prove : PQ + QR + PR 2PS

Proof : We know that sum of two sides of a triangle is greater than the third side.

PQ + QS PS --(1)

PR + SR PS --(2)

Adding (1) and (2) on both sides, we get,

PQ + QS + PR + SR PS + PS= PQ + QS + SR + PR 2PS= PQ + QR + PR 2PS

Hence proved.

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View Full Answer

I don't know why the the greater sign symbol is missing. Hope you can understand.

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Given : A triangle PQR. A point S on QR.

To Prove : PQ + QR + PR 2PS

Proof : We know that sum of two sides of a triangle is greater than the third side.

PQ + QS PS --(1)

PR + SR PS --(2)

Adding (1) and (2) on both sides, we get,

PQ + QS + PR + SR PS + PS= PQ + QS + SR + PR 2PS= PQ + QR + PR 2PS

Hence proved.

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No problem We can understand
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can i a have a diagram.
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But always draw a diagram then only will it be easier to understand.  please follow it.
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The diagram for the question

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Which book's question is this
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where is greater sign symbol?
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its difficult
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wrong answer it seems to be incorrect
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