Question

And #6 is Sv

Point S is the centroid of triangle RTW,RS=4, VW=6, and Tv=9 Find the length of each segment

Answer 1

RV = 6

SU = 2

RU = 6

RW = 12

TS = 6

Explanation:

See the diagram shown in the question,

Point S is the centroid of Δ RTS.

Given, RS = 4, VW = 6, and TV = 9

Now, RV = VW = 6

SU = 0.5 RS = 2. {Since the centroid breaks the median in 2 : 1 ratio}

RU = RS + SU = 4 + 2 = 6

RW = RV + VW = 6 + 6 = 12

`TS =(2)/(3) (TV) = (2)/(3) * 9= 6` (Answer)