# 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.

• 61

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

• 9

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.

• 7
No problem We can understand
• 3
can i a have a diagram.
• 4
But always draw a diagram then only will it be easier to understand.  please follow it.
• 10
The diagram for the question • 3
Which book's question is this
• -4
where is greater sign symbol?
• 0
its difficult
• -3
wrong answer it seems to be incorrect
• -1
What are you looking for?