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

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