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fswaahy fswaahy
  • 21-01-2017
  • Mathematics
Answered

In triangle TUV, Y is the centroid. If YW=30, what is TY?

In triangle TUV, Y is the centroid. If YW=30, what is TY? class=

Verified Answer :

KhristinaGrace KhristinaGrace
  • 21-01-2017

TY=15 because the points bisect each other

Answer Link
isyllus
isyllus isyllus
  • 20-05-2019

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

\(\dfrac{WY}{TY}=\dfrac{1}{2}\)

where, WY=30

\(\dfrac{30}{TY}=\dfrac{1}{2}\)

\(TY=2\times 30\)

\(TY=60\)

Hence, The length of TY is 60

Answer Link

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