If the length of median of an equilateral triangle is `x cm` then its area is
`a. x^2, b.(sqrt3/2)x^2, c.x^2/sqrt3, d.x^2/2`

Explanation

"Let side of the triangle = `a`

`therefore` The median of an equilateral triangle is the perpendicular to the base

The perpendicular or altitude = `sqrt3/2a`

`sqrt3/2a`=x

`a=(2x)/sqrt3`

Area of an equilateral triangle is `sqrt3/4side^2`
`sqrt3/4
xx((2x)/sqrt3)^2`

`x^2/sqrt3`

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