Question

if ge = 10, find ag.

Explanation:

Step1: Identify G as centroid

In a triangle, the centroid (G) divides each median into a ratio of \(2:1\) (longer segment:shorter segment), with the longer segment being from vertex to centroid.

Step2: Analyze median AE

Here, AE is a median (since D, E, F are mid - points as indicated by congruency marks), so G divides AE such that \(AG:GE = 2:1\).

Step3: Calculate AG

Given \(GE = 10\), let \(AG = 2x\) and \(GE=x\). Since \(x = 10\), then \(AG=2\times10 = 20\).

Answer:

20