Question

In △ RTV , X is the centroid and RU = 18. Find RX and XU. Enter your answers as numbers.

Answer 1

RX = 12 and XU = 6

Explanation:

Given : In ΔTRV , TW ,RU and VS are the medians .

X is the centroid

To Find : RX and XU

Solution:

Since we know that the centroid divides each median in a ratio of 2:1.

Since X is the centroid so RX : XU = 2:1

So, let RX = 2x and XU = x

And we are given that RU = 18

⇒RX +XU=18

⇒2x+x=18

⇒3x=18

⇒
`x=(18)/(3)`

⇒
`x=6`

Thus, RX = 2x = 2*6 =12

XU = x =6

Hence length of RX = 12 and XU = 6