Question

name the centroid of the triangle shown to the right. the centroid is the point

Explanation:

Step1: Recall the definition of centroid

The centroid of a triangle is the point of intersection of its medians. A median of a triangle is a line segment joining a vertex to the mid - point of the opposite side.

Step2: Identify the medians in the given triangle

In triangle \(RST\), the line segments \(RY\) (where \(Y\) is the mid - point of \(ST\)), \(SZ\) (where \(Z\) is the mid - point of \(RT\)) and \(RX\) (where \(X\) is the mid - point of \(RS\)) are medians.

Step3: Locate the intersection point of the medians

The intersection point of these medians (which is the centroid) is point \(W\).

Answer:

\(W\)