Question
In triangle ABC, D lies on AB and E lies on AC such that
DE || BC. If AD:AB = 2:5 and the area of triangle ABC is 175 sq cm, then the area of triangle ADE is:Solution
Since DE || BC, triangle ADE is similar to triangle ABC. Area ratio = (AD/AB)^2 = (2/5)^2 = 4/25 Area of triangle ADE = 175 x 4/25 = 28 sq cm
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