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Question

In Δ ABC, AC = 15 cm and DE ll BC. If ADDB=12, then AE =___

A
5 cm
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B
10 cm
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C
7.5 cm
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D
12.5 cm
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Solution

The correct option is A 5 cm
From Basic Proportionality theorem,
ADDB=AEEC
AEEC=12AC=15 cmAE+EC=15 cmEC=2AE3AE=15 cmAE=5 cm

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