This is an incomplete question, the image of given question is attached below.
Answer : The length of TY is, 60
Step-by-step explanation :
Give: In ΔTUV, Y is the centroid.
As we know the centroid of the triangle is divides median into 1:2 ratio. That means, the ratio is length of median from centroid to the side to length of median to opposite vertex.
Therefore,
WY : TY = 1 : 2
or,
[tex]\dfrac{WY}{TY}=\dfrac{1}{2}[/tex]
Given:
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