Question

if ( if = 5 ), find ( ei ).

Explanation:

Step1: Recall the centroid property

In a triangle, the centroid divides each median in a ratio of \(2:1\). Here, \(I\) is the centroid of \(\triangle CDK\), and \(EI\) is part of the median \(EK\).

Step2: Use the ratio to find \(EI\)

Since \(IF = 5\), and \(EI = 2\times IF\) (by centroid - median ratio property).
So, \(EI=2\times5\)

Answer:

\(10\)