In equilateral δabc, ad, be, and cf are medians. if fo = 4, then ao =

8

Step-by-step explanation:

The medians intersect at point O. That intersection is called the centroid.

A, B, and C are the vertices.

D, E, and F are the sides.

The ratio of the lengths from a vertex to the centroid and a side to a the centroid is 2:1.

Also, since this is an equilateral triangle, then the lengths of the sides to the centroid are congruent (equal).  Similarly, lengths of the vertices to the centroid are congruent (equal).

If FO is 4, then DO = 4

If DO = 4, then AO is 2(4) = 8