If ∆ ABC ~ ∆ FDE such that AB = 9 cm, AC = 11 cm, DF = 16 cm and DE = 12 cm, then the length of BC is:
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Correct answer: D
Explanation
The correct answer is Option 4 i.e. .
∆ ABC ~ ∆ FDE and AB = 9 cm, AC = 11 cm, DF = 16 cm and DE = 12 cm
According to the property of a similar triangle, if two triangles are similar then the ratio of their corresponding sides is also equal.
⇒ AB/DF = BC/DE
⇒ 9/16 = BC/12
⇒ 27/4 = BC
⇒ BC =