In an equilateral `Delta ABC, D ` is the midpoint of AB and E is the m – InterviewSolution

1.	In an equilateral `Delta ABC, D ` is the midpoint of AB and E is the midpoint of AC. Then, `ar (Delta ABC) : ar (Delta ADE)=?` A. `1 : 2`B. `1 : 4`C. `sqrt3 : 2`D. `3 : 4`
Answer» Correct Answer - B Let BC = a Then, `BD = (a)/(2)`. `therefore (ar(triangleBDE))/(ar(triangleABC))=((sqrt3)/(4)((a)/(2))^(2))/((sqrt3)/(4)a^(2))=(1)/(4)`. So, the required ratio is `1 : 4`.

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