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: DE∥BC From basic proportionality theorem ADDB=AEEC Now, ABAD=AD+DBAD=1+DBAD⇒1+DBAD=3⇒DBAD=2⇒ADDB=AEEC=12⇒2AE=EC⇒AC=AE+EC−−−−−−−(1) On substituting value of EC in (1), we get 15=3AE⇒5=AE⇒EC=10cm