eyoung0407 eyoung0407
  • 25-04-2019
  • Mathematics
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Given that U is the centroid of triangle OPQ find PS.

Given that U is the centroid of triangle OPQ find PS class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 25-04-2019

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

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