Question

If x is the length of a median of an equilateral
triangle, then its area is
it's urgent no samp please​

Answer 1

Step-by-step explanation:

Consider an equilateral triangle ABC having sides a and a median AD of length x unit'.

In an equilateral triangle, the median is always the perpendicular bisector of the triangle. 

So, BD=a/2

In triangle ABD, by pythagoras theorem, we have

AB2=AD2+BD2⟹a2=x2+(2a)2⟹a2=x2+4a2⟹43a2=x2or,a2=34x2

Now, area of equilateral triangle =43a2=43×34x2=33x2