Question
If an equilateral triangle of area `x` and a square of area `y` have the same perimeter than `x` is :
Answer: Option C
Was this answer helpful ?
Let each side of the triangle be a cm and each side of the square be b cm.
Then , `x = sqrt(3)/4 a^2 and y = b^2`,
where `3a = 4b, i.e. b = (3a)/(4)`
`:.` `x = sqrt(3)/4 a^2 and y = (9a^2)/(16)` `:.` `[ b= (3a)/(4)]`
Now , `sqrt(3)/(4) a^2 = (1.732)/(4) a^2 = 0.433 a^2`
and `(9a^2)/(16) = 0.5625 a^2`.
`:.` `x < y`
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution