Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.