In ace, g is the centroid and be = 21. find bg and ge

The value of BG = 7 units and GE = 14 units.

Step-by-step explanation:

As given

In ΔACE, G is the centroid and BE = 21.

Now by using the property of a centroid.

The centroid divides each median in a ratio of 2:1.

Let us assume that the x be the scalar multiple of BG and GE .

Thus

GE = 2x

BG = x

Than

2x + x = 21

3x = 21

x = 7

Thus

GE = 2 × 7

    = 14 units

BG =  7 units

`1234567890-=/*-qwertyuiop[]asdfghjkl; '\\zxcvbnm,./+ /