Question

T is the centroid of
triangle PQR
and PS=33 find PT and ST​

Answer 1

Answer:

$PT=22\ units$

$ST=11\ units$

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

$PS=PT+ST$

$PT=\frac{2}{3}PS$

$ST=\frac{1}{3}PS$

we have

$PS=33\ units$

substitute

$PT=\frac{2}{3}(33)=22\ units$

$ST=\frac{1}{3}(33)=11\ units$