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Firstly, we need to draw triangle
we know that
O is a centroid
and centroid divides median into 2:1
so,
we have FO=4
so, we can plug it
now, we can find CF
CF=OC+FO
CF=8+4
CF=12
now, we can see triangle ACF is a right angled triangle
so, we can use pythagoras theorem
now, we can solve for x
Since, it is equilateral triangle
so,
we know that
E is a mid-point
so,
now, we can plug values
................Answer
