Question

In triangle, S, T, U△STU, YY is the intersection of the three medians. If U, V, equals, 51UV=51, find U, YUY .
S
X
U
W
T
V
Y
Answer
Attempt 1 out of 2

U, Y, equalsUY=

Answer 1

UY = 34.

Reason: Y is the centroid (intersection of the medians), so it divides each median in a 2:1 ratio from the vertex: UY : YV = 2 : 1. Thus UY = (2/3)·UV = (2/3)·51 = 34.