Question

M is the centroid of the triangle. CM=7, PM=10, & BQ=18 BM=[? ]

Answer 1

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. $BM=\frac{18}{3}$

$BM=6$

Therefore, the length of the BM is 6 unit.