fswaahy fswaahy
  • 22-01-2017
  • Mathematics
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In triangle TUV, Y is the centroid. If YW=30, what is TY?

In triangle TUV Y is the centroid If YW30 what is TY class=

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KhristinaGrace KhristinaGrace
  • 22-01-2017
TY=15 because the points bisect each other
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isyllus
isyllus isyllus
  • 21-05-2019

Answer:

TY = 60

D is correct

Step-by-step explanation:

In triangle TUV, Y is the centroid.

As we know the centroid of the triangle is divides median into 1:2 ratio. The ratio is length of median from centroid to the side to length of median to opposite vertex.

Therefore, WY:TY = 1:2

[tex]\dfrac{WY}{TY}=\dfrac{1}{2}[/tex]

where, WY=30

[tex]\dfrac{30}{TY}=\dfrac{1}{2}[/tex]

[tex]TY=2\times 30[/tex]

[tex]TY=60[/tex]

Hence, The length of TY is 60

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