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    Question

    If D and E are the mid points of AB and AC respectively of ∆ ABC, then the ratio of the areas of ADE and BCED is ?

    A 1 : 2 Correct Answer Incorrect Answer
    B 1 : 4 Correct Answer Incorrect Answer
    C 2 : 3 Correct Answer Incorrect Answer
    D 1 : 3 Correct Answer Incorrect Answer

    Solution

    We Know that ∆ADE ~ ∆ABC and we know that also (area ∆ABC) / (area ∆ADE) = (AB / AD)2 = (2/1)2 = 4/1 If total area is 4 and area of ∆ which is ∆ADE is 1. then. area square BCDE will 3. Ratio => ADE : BCED = 1 : 3 Ans

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