Respuesta :

Answer:

centroid divides median into the ratio 2:1 then

PC/CY=9/x=2/1

x=4.5

then the total length PY = 9+4.5=13.5

akposevictor

Applying the theorem of centroid of a triangle, if PC = 9, therefore the value of PY in the image given is: 13.5

Given:

  • Triangle PQR as shown in the image attached below, with C as the centroid.
  • PC = 9

Based on the centroid theorem of a triangle, thus:

  • PC = 2/3 of PY

Which is:

  • [tex]PC = \frac{2}{3} (PY)[/tex]

  • Substitute the value of PC and solve to find PY

[tex]9 = \frac{2}{3} (PY)\\\\3 \times 9 = 2(PY)\\\\27 = 2(PY)[/tex]

  • Divide both sides by 2

[tex]13.5 = PY\\\\\mathbf{PY = 13.5}[/tex]

Therefore, applying the theorem of centroid of a triangle, if PC = 9, therefore the value of PY in the image given is: 13.5

Learn more here:

https://brainly.com/question/20627009

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