Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    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?

    ক)
    1:2
    খ)
    1:3
    গ)
    2:3
    ঘ)
    \(\sqrt3\):2

    Explanation

    area of a square = a² sq cm length of the diagonal = 2a\sqrt{2a} cm area of equilateral triangle with side 2a\sqrt{2a} = 34∗(2a)2\frac{\sqrt3}4\ast\left(\sqrt{2a}\right)^2 required ratio = 34∗(2a)2:a2=3:2\frac{\sqrt3}4\ast\left(\sqrt{2a}\right)^2:a^2=\sqrt3:2

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