Question

An equilateral triangle is made on the diagonal of a square. Then find the ratio of their areas. (a) 13:2 (b) 12:13 (c) 2:13 (d) 1:72

SSC CGL

Maths

Solution

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Cevghoy priagoral ( =frac{sqrt{a^{2}+a^{2}}}{2 a sqrt{2}} ) [ begin{array}{r}2 a sqrt{2}end{array} ] Area of square 2 axa oar trea of equatere ( 2 frac{sqrt{3}(a sqrt{2})^{2}}{4}=frac{sqrt{3} a^{2} cdot R}{4^{4}} frac{1}{2} frac{sqrt{3} a^{2}}{2} )