Answer:
C. 24
Step-by-step explanation:
Q is the centroid of the triangle. This means that the interior lines are medians, the special rule for medians when they intersect within a triangle is that each line is split into exactly 2/3s and 1/3. So the side of the median closer to the vertex will be exactly double the shorter side. Therefore, if AD is 36, find 2/3s of that to get AQ. An easy way to do this is to divide 36 by 3, which is 12, and then multiply that by 2, which gives you the final answer, 24.
