Question

In the figure, P is the centroid of Abc and BP=8
Find the length of BF

Answer 1

B. 12

Explanation:

Based on the centroid theorem,

`BP = (2)/(3)(BF)`.

BP = 8

Plug in the value of BP into the equation and find the value of BF.

`8 = (2)/(3)(BF)`

`8 = (2*BF)/(3)`

Cross multiply

`8*3 = 2*BF`

`24 = 2*BF`

Divide both sides by 2

`(24)/(2) = BF`

`BF = 12`