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Question

In given figure, DE||AC and DC||AP. Prove that BEEC=BCCP
1008349_61fbfcbb659943e6ab73929bbd6e229c.png

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Solution

In BPA, we have


DC||AP [Given]


Therefore, by basic proportionality theorem, we have

BCCP=BDDA


In BCA, we have


DE||AC


Therefore, by basic proportionality theorem, we have

BEEC=BDDA

From (i) and (ii), we get

BCCP=BEEC or BEEC=BCCP [Hence proved]


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