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If Q is a point on the side SR of a Delt...

If Q is a point on the side SR of a `Delta PSR such that PQ=PR then prove that `PS gt PQ`

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If Q is a point on the side SR of a triangle PSR such that PQ=PR then prove that PS > PQ

In the given figure, Q is a point on the side SR of DeltaPSR such that PQ = PR. Prove that PS gt PQ.

Knowledge Check

  • If S is a point on side PQ of a DeltaPQR such that PS=QS=RS, then

    A
    `PRcdotQR=RS^(2)`
    B
    `QS^(2)+RS^(2)=QR^(2)`
    C
    `PR^(2)+QR^(2)=PQ^(2)`
    D
    `PS^(2)+RS^(2)=PR^(2)`

  • S and U are two points on the side PQ of DeltaPQR , such that QU=PS . If ST||QR and UV||PR , then

    A
    TV||PQ
    B
    `TVbotPQ`
    C
    TV and PQ intersect at `60^(@)`
    D
    TV and PQ intersect at `45^(@)`

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    If S is the mid-point of side QR of a DeltaPQR , then prove that PQ+PR=2PS .

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