Question

Given that U is the centroid of triangle OPQ find PS.

Answer 1

Answer:

PS=5.4

Step-by-step explanation:

The centroid divides each median in the ratio 2:1

If U is the centroid, then

$3.6:x+0.8=2:1$

We use ratio to obtain;

$\frac{3.6}{x+0.8}=\frac{2}{1}$

Cross multiply;

$3.6=2(x+0.8)$

Expand;

$3.6=2x+1.6$

Group similar terms;

$3.6-1.6=2x$

$2=2x$

x=1

PS=PU+US

PS=3.6+1+0.8

PS=3.6+1+0.8

PS=5.4