Question

In ATUV, Y is the centroid. If TY = 30, what is YW?
A.15
B.45
C.30
D.60

Answer 1

A

Explanation:

On the median TW the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , then

YW =
`(1)/(2)` × TY =
`(1)/(2)` × 30 = 15

Answer 2

We know at centroid medians bisect each other in the ratio 2:1.

• TY=30
• Let YW be x

`\\ \sf\longmapsto TY=2x`

`\\ \sf\longmapsto 2x=30`

`\\ \sf\longmapsto x=(30)/(2)`

`\\ \sf\longmapsto x=15`