Question

If in an equilateral triangle, the length of the median is $\sqrt{3}cm$, then find the length of the side of equilateral triangle.

Answer 1

Let the side of equilateral triangle be $x$cm

We know for an equilateral triangle, median$=\frac{\sqrt{3}x}{2}$

$\Rightarrow \sqrt{3}=\frac{\sqrt{3}x}{2}$

$\therefore x=2$cm

Length of the side of the equilateral triangle is $2$cm