Answer:
[tex]PT=22\ units[/tex]
[tex]ST=11\ units[/tex]
Step-by-step explanation:
we know that
The centroid is the point where all 3 medians intersect. The centroid divides each median in a ratio of 2:1
so
In this problem
[tex]PS=PT+ST[/tex]
[tex]PT=\frac{2}{3}PS[/tex]
[tex]ST=\frac{1}{3}PS[/tex]
we have
[tex]PS=33\ units[/tex]
substitute
[tex]PT=\frac{2}{3}(33)=22\ units[/tex]
[tex]ST=\frac{1}{3}(33)=11\ units[/tex]
