Question

In △ABC, G is the centroid and BE = 21. Find BG and GE.

Answer 1

the answer is BG=7,GE=14

Answer 2

• BG = 7, GE = 14

Explanation:

The centroid is the intercession of medians.

The centroid theorem states that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

BE is the median and point G is 2/3 of the distance from E:

• GE = 2/3BE = 2/3(21) = 14

Then BG is:

• BG = BE - GE = 21 - 14 = 7

The answer is BG = 7, GE = 14