Question

1. centroid of a triangle - the distance from a centroid of a triangle to the vertex is ______ the distance

centroid to the midpoint of the opposite side.
△xyz is shown, where e, f, and g are midpoints of each side. xy = 14, xz = 16, and yz = 18.

Explanation:

Step1: Recall centroid property

The centroid of a triangle divides the median (a line segment from a vertex to the mid - point of the opposite side) in the ratio \(2:1\). That is, if \(M\) is the mid - point of a side and \(V\) is the vertex, and \(C\) is the centroid, then \(VC = 2\times CM\).

Answer:

twice