Math, asked by SunilKumar401, 9 months ago

In the given figure, prove that ar (∆AQC) = ar (PBR)​

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Answered by Anonymous
19

\huge\mathfrak{Bonjour!!}

\huge\bold\purple{Solution:-}

We observe that triangles ABQ and PBQ are on the same base BQ and between the same parallels AP and BQ.

Therefore,

ar(ABQ)= ar(PBQ) .....(i)

Similarly, triangles BCQ and BRQ are on the same base BQ and between the same parallels BQ and CR.

Therefore,

ar(BCQ) = ar(BRQ)....... (ii)

Now,

On adding (i) and (ii), we get,

ar (ABQ) + ar (BCQ) = ar (PBQ) + ar(BRQ)

=> ar (AQC) = ar (PBR)

Hence, proved...:-)

Hope it helps...❣❣❣

Be Brainly...

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Answered by Anonymous
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