Question

Centroids in Triangles - K is the centroid of each triangle. Find AP and KP when AK = 10.

Answer 1

To find AP and KP when AK = 10, use the properties of centroids in triangles. AP is twice the length of AK, and KP is equal to AK.

Step-by-step explanation:

To find AP and KP when AK = 10, we need to understand the properties of centroids in triangles. In a triangle, the centroid is the point of intersection of the medians. The medians of a triangle are the lines drawn from each vertex to the midpoint of the opposite side. The centroid divides each median into two segments, with the segment from the vertex to the centroid being twice as long as the segment from the centroid to the midpoint.

So, if AK = 10, AP = 2(10) = 20. And since K is the centroid, KP = 10.