crinsonknight
crinsonknight crinsonknight
  • 28-02-2019
  • Mathematics
contestada

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

T is the centroid of triangle PQRand PS33 find PT and ST class=

Respuesta :

calculista
calculista calculista
  • 11-03-2019

Answer:

[tex]PT=22\ units[/tex]

[tex]ST=11\ units[/tex]

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

[tex]PS=PT+ST[/tex]

[tex]PT=\frac{2}{3}PS[/tex]

[tex]ST=\frac{1}{3}PS[/tex]

we have

[tex]PS=33\ units[/tex]

substitute

[tex]PT=\frac{2}{3}(33)=22\ units[/tex]

[tex]ST=\frac{1}{3}(33)=11\ units[/tex]

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