Question

In equilateral ΔABC, AD, BE, and CF are medians. If CF = 20, then BO =

Answer 1

Answer:BO=40/3

Explanation:

Here, ABC is the equilateral triangle where AD, BE and CF are the medians.

So, AD=BE=CF=20 ( because they all are the median of the equilateral triangle ABC, and it is given that CF=20)

Let O is the intersection point of these medians.

Then By the property of equilateral triangle,  BO:OE=2:1

Let BO=2x and OE=1x

Since BO+OE=BE⇒2x+1x=20⇒3x=20⇒x=20/3

Therefore, BO=2x=2×20/3=40/3 unit

Answer 2

I assume O is where the three medians meet.
because triangle ABC is equilateral, the median is also the angle bisector and the altitude.
BO is 2/3 of BE, BE=CF=AD=20, so BO=40/3