Question

in △def, j is the centroid. if df = 62, find di. answer attempt 1 out of 2 di =

Explanation:

Step1: Recall centroid property

In a triangle, the centroid divides each median into a ratio of \(2:1\), and also, the median connects a vertex to the midpoint of the opposite side. So, \(I\) (since \(J\) is the centroid and \(EI\) is a median) must be the midpoint of \(DF\).

Step2: Calculate \(DI\)

Since \(I\) is the midpoint of \(DF\), \(DI=\frac{1}{2}DF\). Given \(DF = 62\), then \(DI=\frac{62}{2}=31\).

Answer:

31