Question

In the diagram below of triangle ABC, the medians meet at point G. If CF = 39, what is the length of CG?

Answer 1

Applying the centroid theorem of a triangle, the length of CG is: 26.

Recall:

• Medians join the vertices to the midpoint of the opposite sides of a triangle.

• The center that all the three medians intersect at is called the centroid.

• Based on the centroid theorem, the distant from the centroid to the vertex = 2/3 of the median length.

Triangle ABC is shown in the image attached below. G is the centroid.

CF = 39 (median)

CG = 2/3(CF) ---> Centroid Theorem.

• Substitute

CG = 2/3(39)

CG = 26

Therefore, applying the centroid theorem of a triangle, the length of CG is: 26.

Learn more about centroid theorem on:

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