العلاقات في المثلث: القطع المتوسطة والارتفاعات في المثلث: أمثلة

The video tutorial explains how to solve a geometry problem involving triangle ABC. It focuses on finding the lengths of segments using the centroid theorem, which states that the distance from the centroid to a vertex is two-thirds of the median's length. The problem provides the length of segment FC and requires finding the lengths of segments FQ and QC. Through step-by-step calculations, the video demonstrates how to apply the theorem and solve for the unknown segment lengths, concluding with a recap of the solution.

In triangle ABC, if the length of segment FC is 15, what is the problem asking you to find?

• The area of triangle ABC

• The length of segment FQ

• The perimeter of triangle ABC

• The length of segment AB

According to the centroid theorem, what fraction of the median does the centroid divide?

• 1/2

• 1/3

• 2/3

• 3/4

If the length of segment FC is 15, what is the length of segment QC using the centroid theorem?

• 5

• 20

• 10

• 15

Using the segment addition postulate, if FC is 15 and QC is 10, what is the length of FQ?

• 10

• 7

• 5

• 3

What is the final length of segment FQ after solving the problem?

• 10

• 20

• 5

• 15