Latest TCS Aptitude Question SOLUTION: the diagonal of the square is twice the side of equilateral triangle the ratio of area of the triangle to the area of square is?

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the diagonal of the square is twice the side of equilateral triangle the ratio of area of the triangle to the area of square is?

Asked In TCS (12 years ago)

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Swapnil Deshmukh  (12 years ago)

let side of square is a
then diagonal of square is {sqrt2a}
given {sqrt2a}= 2*side of triangle
so side of triangle = {sqrt2a}/2 i.e a/sqrt2
area of triangle = sqrt3/4*side^2......according to formula
new area = sqrt3/4*{a/sqrt2}*{a/sqrt2} i.e.........sqrt3a*a/8
area of square = a^2
ratio = sqrt3*a^2/8a^2....i.e sqrt3/8

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ryan  (12 years ago)

let side of square is (a) than
diagonal of square is (a root2)

side of triangle is (a root2)/2

areaof triangle/area of square

area of triangle=(root3/4)*square a =(root3/8)*square a
area of square== a*a

ans is root3/8

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