Question

guided practice
concurrent lines, medians, and altitudes
type your answer and then click or tap done.
in △tuv, y is the centroid. if yw = 9, find ty.
ty =

Explanation:

Step1: Recall the centroid property

The centroid of a triangle divides each median into a ratio of \(2:1\). That is, if \(Y\) is the centroid of \(\triangle TUV\) and \(TW\) is a median, then \(TY = 2YW\).

Step2: Substitute the given value of \(YW\)

Given \(YW = 9\). Using the formula \(TY=2YW\), we substitute \(YW = 9\) into the formula. So \(TY=2\times9\).

Answer:

\(18\)