Which of the following diagrams includes a centroid? in order: a, b, c, d

The answer is A

Figure A

Step-by-step explanation:

First let's see what a centroid of a triangle is.

In a triangle there are three vertices. We draw a line segment from each vertices to the median of the opposite sides. The median of each vertices intersect in a point inside the triangle. That point is called the centroid of the triangle.

That is also called the center of gravity of the triangle.

By looking at the given figures,

The figure A is the correct answer.

There each line segments drawn from the vertices intersect the opposite side at the median. The point E is the centroid of the triangle.

Therefore, the answer is figure A.

5x+10 is the correct one

hope this