please tell me a right answer please
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hmmmmmmmmmmmmmmmm......
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Given,
∆PQR ,in which XY// QR, XY intersects PQ and PR atX and Y.
To prove :
PX/XQ=PY/YR
Construction:
join RX and QY,draw YN perpendicular to PQ and XM perpendicular to PR
Proof:
ar(∆ PXY)= 1/2( PX×YM)----------(1)
ar ( ∆ PXY)=1/2( PY×XM)------------(2)
ar ( ∆ RXY) = 1/2(RY×XM)-------------(3)
ar ( ∆ QXY) =1/2(QX×NX)---------:::;(4)
DIVIDING 1 AND 3,
we get , ar(∆PXY). PX
----------------- = ----------. → (5)
ar(∆QXY). QX
DIVIDING 2 BY 3,
ar (∆PXY). PY
---------------- =. -------. →(6)
ar(∆RXY). RY
since ar (∆QXY) AND ar ( ∆(RXY) ARE EQUAL
THEREFORE,. PX. PY
--------. = -------
XQ. YR
HENCE PROVED..
HOPE IT HELPS........
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