Question

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

Answer 1

PS=5.4

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;

`(3.6)/(x+0.8)=(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