Question

In △BCD, BP=15 cm.

What the length of BX¯¯¯¯¯¯ ?

Enter your answer in the box.
cm

Answer 1

10 cm

Explanation:

I took the test

Answer 2

we know that

The centroid is the point where all three medians intersect and divides each median in a ratio of
`2:1`. Is described as the triangle's center of gravity.

In this problem

C-Q, B-P and D-R ------> are medians

The point X is the centroid of the triangle BCD

so

`BX=(2)/(3)BP`

we have

`BP=15\ cm`

substitute

`BX=(2)/(3)(15)=10\ cm`

therefore

the answer is

`BX=10\ cm`