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Aadarsh

  • 2 years ago

PQRS is a kite. PQ = 7, QR = 11, QS = 10. M is the mid-pint of PR. Find QM^2.

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  1. Ishaan94
    • 2 years ago
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    Can you draw a figure?

  2. Aadarsh
    • 2 years ago
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    Sure. Please wait.

  3. Aadarsh
    • 2 years ago
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    |dw:1334216371667:dw|

  4. apoorvk
    • 2 years ago
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    |dw:1334216398007:dw| M is mid pt of PR or QS??

  5. lgbasallote
    • 2 years ago
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    if QS = 10 then QM = 5 5^2 is 25 right?

  6. Aadarsh
    • 2 years ago
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    @lgbasallote , u r wrong.

  7. Aadarsh
    • 2 years ago
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    M is mid-point of PR.

  8. Aadarsh
    • 2 years ago
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    I have done the answer, shall I post it? Will u correct it?

  9. lgbasallote
    • 2 years ago
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    ahhh found it now >:))

  10. thushananth01
    • 2 years ago
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    \[\frac{\sqrt{24}+\sqrt{96}}{2}\]

  11. Aadarsh
    • 2 years ago
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    Wrong again.

  12. thushananth01
    • 2 years ago
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    that is equal to PM

  13. apoorvk
    • 2 years ago
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    Okay let me think good one. lol. Done.|dw:1334216749935:dw| wait let me type

  14. thushananth01
    • 2 years ago
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    Cos rule i guess...what is QRM=

  15. thushananth01
    • 2 years ago
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    sorry QPM?

  16. Aadarsh
    • 2 years ago
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    QPM is not given.

  17. lgbasallote
    • 2 years ago
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    let midpoint of QS = A sqrt (11^2 - 5^2) = AR AR = sqrt (121-25) AR = sqrt (96) AR = 4 sqrt (6) PM + AR = PR + MA PM = PR/2 PR/2 + 4 sqrt 6 = PR + MA lol =)))

  18. thushananth01
    • 2 years ago
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    so v can find it using sin x = 5/7

  19. Aadarsh
    • 2 years ago
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    Shall I say how I did? Please. then u will check and rectify me.

  20. thushananth01
    • 2 years ago
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    ok?

  21. apoorvk
    • 2 years ago
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    yeah aadarsh post i am not in the patient mood to type such long replies right now.

  22. Aadarsh
    • 2 years ago
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    Just a minute.

  23. thushananth01
    • 2 years ago
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    answer is 31 = QM^2= 32

  24. thushananth01
    • 2 years ago
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    31*

  25. Aadarsh
    • 2 years ago
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    How u did @thushananth01 ? Can u say the reason please? U r absolutely right.

  26. thushananth01
    • 2 years ago
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    ok first find the full length of PR u can do this first by using pythagoras theorom then u have to add both and divide by 2 to get the midpoint as i gve previous with the radical..that was the length from P to M now we know PM and PQ plus the angle QPM v can find using the sin rule then i got the angle as 45.6 then finally the cose rule\[p^{2}= q^{2} + m^{2} - 2qm (cos P)\] \[7^{2}+7.35^{2} - 2 \times 7 \times 7.35 \cos 45.6 = p^{2}\rightarrow QM^2\]

  27. thushananth01
    • 2 years ago
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    \[\frac{\sqrt{24} +\sqrt{96}}{2}\rightarrow PM\]

  28. Aadarsh
    • 2 years ago
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    Thanks yaar.

  29. thushananth01
    • 2 years ago
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    np :)

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