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    Question

    The areas of the two triangles are in the ratio 4 : 3

    and their heights are in the ratio 6 : 5. Find the ratio of their bases.
    A 5 : 6 Correct Answer Incorrect Answer
    B 10 : 9 Correct Answer Incorrect Answer
    C 6 : 5 Correct Answer Incorrect Answer
    D 9 : 10 Correct Answer Incorrect Answer

    Solution

    Area of the first triangle =1/2 base1 ×height 1 4 =1/2 ×base1 ×6 base1 =4/3. Area of second triangle =1/2 × base2 ×height2 3=1/2 ×base2 ×5 base2 =6/5 and now ratio of these base =4/3:6/5 =20:18 =10:9.

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