In `Delta ABC, D and E` are the midpoint of AB and AC respectively. Find the ratio of the areas of `Delta ADE and Delta ABC`.
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Correct Answer – `1:4`
Clearly `DE||BC`.
`:. Delta ADE~Delta ABC`.
`:. (ar (Delta ADE))/(ar (Delta ABC))=(AD^(2))/(AB^(2))=(AD^(2))/((2AD)^(2))=(1)/(4)`