In Δ ABC, AC = 15 cm and DE∥BC. If ABAD=3, find EC.
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Solution
From basic proportionality theorem since DE∥BC, ADDB=AEEC ABAD=AD+DBAD=1+DBAD⇒1+DBAD=3⇒DBAD=2⇒ADDB=AEEC=12⇒2AE=EC⇒AC=AE+EC−−−−−−−(1)
Substituting value of EC and AC in (1), ⇒15=3AE⇒5=AE⇒EC=10cm