Multiple choice

In a △ABC, the median BE intersects AC at E. If BG=12 cm, where G is the centroid, then BE is equal to:

  1. 16 cm

  2. 18 cm

  3. 15 cm

  4. 13 cm

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In a triangle, the centroid divides each median in a 2:1 ratio, with the longer segment between the vertex and centroid. Since BG = 12 cm (vertex to centroid), the shorter segment GE = 6 cm. Therefore the total median BE = BG + GE = 12 + 6 = 18 cm.