Question

incenter: the angle of each angle of a triangle meet at the incenter. the incenter is from each of the sides of the triangle. centroid: the of a triangle connects from a vertex on the triangle to the of the side opposite the vertex. the meet at the centroid. the centroid is of the distance from each vertex to the midpoint of the opposite side.

Explanation:

• The centroid is related to the median of a triangle. A median of a triangle connects a vertex to the mid - point of the opposite side.
• The medians of a triangle meet at the centroid.
• The centroid divides the median in a ratio of \(2:1\). So, the centroid is \(\frac{2}{3}\) of the distance from each vertex to the mid - point of the opposite side.

Answer:

• median, mid - point, medians, \(\frac{2}{3}\)