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Remember: when 2 triangles are similar, and their sides are in ratio x:y then the ratio of the areas of those two triangles is x^2:y^2
here, triangle ADE and triangle ABC are similar.
The area of triangle ABC = area of triangle ADE + area of trapezoid
so if area of trapezoid is 2x then area of ADE is x and so the area of triangle ABC = 3x
so the ratio of area of triangle ADE and ABC is 1:3 so their sides must be in ratio 1: sq rt (3)
hope this helps...
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Source: Beat The GMAT — Problem Solving |
