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Question

In Δ ABC, AC = 15 cm and DE BC. If ABAD=3, then EC = cm

A
5 cm
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B
10cm
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C
2.5 cm
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D
9 cm
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Solution

The correct option is B 10cm
From basic proportionality theorem since DEBC,
ADDB=AEEC
ABAD=AD+DBAD=1+DBAD1+DBAD=3DBAD=2ADDB=AEEC=122AE=ECAC=AE+EC(1)
Substituting value of EC and AC in (1),
15=3AE5=AEEC=10cm

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