Question

D is the centroid of △ABC . What is the value of x when BD=2x+30 and BF=6x ?

Answer 1

Answer:

The value of x is $15\ units$

Step-by-step explanation:

we know that

The centroid is the point where all 3 medians intersect. The centroid divides each median in a ratio of 2:1

so

In this problem

$BD=\frac{2}{3}BF$

see the attached figure to better understand the problem

we have

$BD=2x+30$

$BF=6x$

substitute the values

$2x+30=\frac{2}{3}(6x)$

$2x+30=4x$

$4x-2x=30$

$2x=30$

$x=15\ units$