44.5k views
1 vote
Based on the diagram can point D be the centroid of triangle ACF? Explain

2 Answers

4 votes

Answer:

No

Explanation:

the ratio between AD and DE is 3:1.

The geometric centroid (center of mass) of the polygon vertices of a triangle is the point D which is also the intersection of three triangle's medians.

The centroid theorem states that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

User Lotus Notes
by
5.8k points
3 votes

Answer:

3:1 Ur welcome

Explanation:

Yes, point D is the point of intersection of segments drawn from all three vertices.

Yes, DE is three-quarters of the length of the full segment.

No, DE should be longer than AD.

No, the ratio between AD and DE is 3:1

User Samra
by
6.0k points