D and E are points on AB and AC respectively such that DE is parallel to BC.if AD=1/3 BD and AE=4.5 cm. find AC
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In triangle ABC, we have DE || BC
Since, DE || BC, then
AD/BD =AE/EC [Basic Proportionality Theorem] ........ (1)
Now, AD =1/3 BD (given)
AD/BD = 1/3
1/3 = 4.5/EC [from (1)]
EC = 13.5cm [by cross multiplication]
Now,AC = AE + EC = 4.5 + 13.5 = 18 cm
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18 cm
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