The median CD of triangle ABC is 9 cm Find line segments AD and OD. where O is the intersection point

The median CD of triangle ABC is 9 cm Find line segments AD and OD. where O is the intersection point of the medians of the triangle ABC.

The median of a triangle is a line segment that connects any of its vertices to the middle of the opposite side. The triangle has three medians. They always intersect at one point inside the triangle, which is called its center of gravity and divides the median, starting from the vertex, in a ratio of 2: 1.
Thus, CD = CO + 2 x OD, where CO: OD = 2: 1
CO = 2 x OD
CD = 2 x OD + OD
CD = 3 x OD
OD = CD: 3 = 9: 3 = 3cm
CO = 2 x 3 = 6 cm.
Answer: OD = 3 cm, SD = 6 cm.