Question

1. point f is a centroid of the triangle bde. if ab = 24 cm, what is be?

Explanation:

Step1: Recall Centroid Property

In a triangle, the centroid divides each median into a ratio of \(2:1\) (from vertex to midpoint). Also, if \(A\) is the midpoint of \(BE\) (since \(F\) is centroid, \(A\) should be midpoint of \(BE\) as \(AF\) related to median), so \(AB = AE\) and \(BE=AB + AE\).

Step2: Calculate \(BE\)

Given \(AB = 24\) cm. Since \(A\) is midpoint, \(AE=AB = 24\) cm. Then \(BE=AB + AE=24 + 24 = 48\) cm.

Answer:

\(48\) cm