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Question

In fig., If PQ BC and PR CD. Prove that ARAD= AQAB. [4 MARKS]

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Solution

Concept : 1 Mark
Application : 1 Mark
Proof : 2 Marks

In ΔABC, we have

PQCB [Given]

Therefore, by basic proportionality theorem, we have

AQQB = APPC

AQAB=APAC........(1)

In ΔACD, we have

PRCD [Given]

Therefore, by basic proportionality theorem, we have

APPC = ARRD

APAC = ARAD........(2)

From (1) and (2), we obtain that

AQAB = ARAD

or ARAD = AQAB


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