if the length of a median of an equilateral triangle is X CM then its area is
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The median divides the triangle into two right-angled triangles.
One of the angles in the triangle is 60°.
So the other side (not the hypotenuse) is x/tan60° = x/√3.
Area of right-angled triangle = ½ x x/√3 = ½x²/√3
Area of equilateral triangle = x²/√3 cm²
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