Question
∆ABC is similar to ∆DEF and the ratio of the area of
triangle ABC to triangle DEF is 25 ∶ 144. If AB = p cm,AC = q cm and BC = r cm,then DE = ?Solution
Ratio of areas = 25/144 ⇒ (Ratio of corresponding sides)2 = 25/144 ⇒ Ratio of corresponding sides = √(25/144) ⇒ Ratio of corresponding sides = 5/12 ⇒ AB/DE = 5/12 ⇒ DE = (12/5) × AB ⇒ DE = (12/5) × p
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