In equilateral δabc, ad, be, and cf are medians. if cf = 20, then bo =

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

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step-by-step explanation: