Question

A median of a triangle is a line segment joining a vertex of a triangle to the midpoint of the opposite side. The three medians of a random triangle are drawn below. [Image]

What property do the medians of a triangle hold?
Options:
a) They bisect each other at right angles.
b) They always intersect at the circumcenter.
c) They divide the triangle into six equal areas.
d) They meet at a single point called the centroid.

Answer 1

The medians of a triangle meet at a single point called the centroid.

Step-by-step explanation:

The medians of a triangle have the property of meeting at a single point called the centroid. This means that all three medians intersect at a common point in the interior of the triangle. The centroid is the center of gravity of the triangle and is also the point of balance for the triangle if it were to be suspended from any of its vertices.