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

Sagot :

akposevictor

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:

https://brainly.com/question/20627009

View image akposevictor
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