Answer:
PS=5.4
Step-by-step explanation:
The centroid divides each median in the ratio 2:1
If U is the centroid, then
[tex]3.6:x+0.8=2:1[/tex]
We use ratio to obtain;
[tex]\frac{3.6}{x+0.8}=\frac{2}{1}[/tex]
Cross multiply;
[tex]3.6=2(x+0.8)[/tex]
Expand;
[tex]3.6=2x+1.6[/tex]
Group similar terms;
[tex]3.6-1.6=2x[/tex]
[tex]2=2x[/tex]
x=1
PS=PU+US
PS=3.6+1+0.8
PS=3.6+1+0.8
PS=5.4
