Answer:
The length of the BM is 6 unit.
Step-by-step explanation:
Given : M is the centroid of the triangle. CM=7, PM=10, & BQ=18
To find : The value of BM ?
Solution :
Refer the attached figure below.
The centroid of a triangle is the point of intersection of its medians.
M is the centroid and the centroid divide the line in 1:2 ratio.
So, M divide BQ in 1:2 ratio and the total length of BQ is 18.
BM is one third of 18.
i.e. [tex]BM=\frac{18}{3}[/tex]
[tex]BM=6[/tex]
Therefore, the length of the BM is 6 unit.
