Question

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

Answer 1

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

• TY=30
• Let YW be x

$\\ \sf\longmapsto TY=2x$

$\\ \sf\longmapsto 2x=30$

$\\ \sf\longmapsto x=\dfrac{30}{2}$

$\\ \sf\longmapsto x=15$

Answer 2

Answer:

A

Step-by-step 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 = $\frac{1}{2}$ × TY = $\frac{1}{2}$ × 30 = 15