Question

69 In a triangle ABC, medians AD and BE intersect at G. If the length of median AD is 12 cm, what is the length of the segment AG?

• A. 4 cm
• B. 6 cm
• C. 8 cm
• D. 9 cm

Answer 1

Answer:

C. 8 cm

In any triangle, the centroid (G) divides each median in the ratio 2 : 1, measured from the vertex.

Thus,

$AG=\frac{2}{3}\times AD$

Given:

• (AD=12) cm

$AG=\frac{2}{3}\times12=8\text{ cm}$

Answer:

$\boxed{8\text{ cm}}$