Question

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

24 cm
36 cm
72 cm
48 cm

Explanation:

Step1: Recall centroid property

In a triangle, the centroid divides each median into a ratio of \(2:1\). Also, if \(F\) is the centroid of \(\triangle BDE\), then \(A\) should be the mid - point of \(BE\) (since \(FA\) is part of the median from \(D\) to \(BE\)). So, \(BE = 2\times AB\).

Step2: Calculate \(BE\)

Given that \(AB = 24\space\text{cm}\), then \(BE=2\times24 = 48\space\text{cm}\).

Answer:

48 cm (corresponding to the option with 48 cm)