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Multiple Choice Questions

An equilateral triangle is described on the diagonal of a square What is the ratio of the area of th...........

Quantitative Aptitude ( CCS) Mensuration 2D
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    An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square?

    1:2

    Incorrect Answer

    1:3

    Incorrect Answer

    2:3

    Incorrect Answer

    √3:2

    Correct Answer
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    Explanation:

    area of a square = a² sq cm
    length of the diagonal = √(2a)cm
    area of equilateral triangle with side  √(2a)=√3/4*(√2a)2
    required ratio =√3/4*(√2a)2:a2=√3:2

    By: MIRZA SADDAM HUSSAIN
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