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zavuch27 [327]
3 years ago
10

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

Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0

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

⇒x=\frac{18}{3}

⇒x=6

Thus,  RX = 2x = 2*6 =12

          XU = x =6

Hence length of RX = 12 and XU = 6

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