In △ RTV , X is the centroid and RU = 18. Find RX and XU. Enter your answers as numbers.
1 answer:
Answer:
RX = 12 and XU = 6
Step-by-step 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
⇒
⇒
Thus, RX = 2x = 2*6 =12
XU = x =6
Hence length of RX = 12 and XU = 6
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