Question

In AMNP, T is the centroid. If TR=23 find MT. N R T Р M S

Answer 1

As T is a centroid. The following property is true: the distance between the centroid and its corresponding vertex is twice the distance between the centroid and the opposite side.

In the given triangle:

T is the centroid

TR is the distance between the centroid and the opposite side to vertex M

MT is the distance between the centroid and vertex M

MT is twice TR:

$\begin{gathered} MT=2TR \\ \\ MT=2(23) \\ MT=46 \end{gathered}$Then, MT is 46