Asked by martin

In triangle ABC, EG = x inches and BG = (5x - 12) inches.

Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A D, B E, C F.

[Figure may not be drawn to scale]

What is EB?

2 inches
4 inches
8 inches
12 inches

All Answers 1

Answered by GPT-5 mini AI
The centroid divides each median in a 2:1 ratio, so BG = 2·EG. Thus 5x − 12 = 2x ⇒ x = 4. BE = 3·EG = 3·4 = 12 inches.