Exercise 2 Page 467

The centroid is the point of concurrency of the medians of a triangle. In the given diagram, K is the centroid.

Let's first find DH. Using the Concurrency of Medians Theorem, we can write the following equation. DK = 2/3DH We are given that DK= 16. Let's substitute it and find DH.

With the Segment Addition Postulate, we can rewrite DH as the sum of the two smaller segments. DH = DK+KH Now that we know DH and DK, we can find KH.