1 / 6

MEDIANS & CENTROID

MEDIANS & CENTROID. A median of a triangle is a segment from a vertex to the midpoint of the opposite side. The point of concurrency of the three medians of a triangle is called the centroid . It is always inside the triangle. This point is the center of gravity for the triangle.

elyse
Download Presentation

MEDIANS & CENTROID

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. MEDIANS & CENTROID

  2. A median of a triangle is a segment from a vertex to the midpoint of the opposite side.

  3. The point of concurrency of the three medians of a triangle is called the centroid. It is always inside the triangle. This point is the center of gravity for the triangle.

  4. Centroid Theorem • The medians of a triangle intersect at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side. Example: Given that S is the centroid of triangle PQR, find each of the following: PT = UP = QV = RS =

  5. Example 2: G is the centroid of triangle ABC, AD=8, AG=10, and CD = 18. Find each of the following: BD = AB = EG = AE = CG = DG =

  6. Example 3: Point G is the centroid of triangle ABC. Find the value of x if FG = x + 8 and AF = 9x - 6

More Related