Latest TCS Aptitude Question SOLUTION: If the diagonal of the square is equal to twice of side of a equilateral triangle. Find out the ratio of the area of the triangle to the square.

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If the diagonal of the square is equal to twice of side of a equilateral triangle. Find out the ratio of the area of the triangle to the square.

Asked In TCS TCS 2014 (10 years ago)

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Lakshmi  (10 years ago)

area of equilateral triangle is sqrt(3)a^2/4(a is side of triangle)
diagonal of square is sqrt(2)x(x is side of square)
they given condition sqrt(2)x=2a=>x=sqrt(2)a
area of square is x^2=>2a^2
ratio is (sqrt(3)a^2/4)/2a^2
sqrt(3)/8
ANS :sqrt(3)/8

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Manohar Kumar  (10 years ago)

Let the side of equilateral triangle be x then the diagonal of square will be 2x.
Now ratio =((sqrt3/4)*x^2)/(0.5*2x*2x)=(sqrt3):8

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Deblina Manna  (10 years ago)

the answer is sqrt(3)/8

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s.sahithi  (10 years ago)

formula for diagonal of square: d=sqrt2*a
area of square: a^2
area of equilatrl triangle : sqrt3*a^2/4
so given diagonal of the square is equal to twice of side of a equilateral triangle
d=2a ---->sqrt(3)*d^2/4 (since 2=d/2)-----> eq 1
in square d=sqrt(2)*a so.... a^2 become d^2/4---->eq 2
eq1/eq2=sqrt(3)/8
then

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Guru Pranav  (10 years ago)

Ans is sqrt(3)/8 Ans.

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