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Question

In ΔABC, AC = 15 cm and DE || BC. If ABAD=3, find EC.

A
5 cm
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B
10 cm
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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 10 cm
Given: DEBC
From basic proportionality theorem
ADDB=AEEC
Now, ABAD=AD+DBAD=1+DBAD1+DBAD=3DBAD=2ADDB=AEEC=122AE=ECAC=AE+EC(1)
On substituting value of EC in (1), we get
15=3AE5=AEEC=10cm

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