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In △QRS, W is the centroid, WQ = 35 , TW = 20 , and SU = 69 . Find UW.

In △QRS, W is the centroid, WQ = 35 , TW = 20 , and SU = 69 . Find UW.-example-1
User Mentinet
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2 Answers

4 votes

Answer:

VQ=55

Explanation:

We can see that TW and VW seem to equivalent

So VW=20

Now we can find VQ since we know WQ is 35 by just adding

20+35

55

VQ=55

Hope this helps

User Alberto Solano
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8.9k points
6 votes

Answer:


\sf\\Solution:\\\textsf{Given that W is the centroid of the triangle, it divides all medians (VQ, US and }\\\textsf{RT) into 2: 1 ratio.}\\\therefore\ WQ: VW=2:1\\or,\ 35/VW=2\\or,\ VW=17.5\\\therefore\ VQ=VW+WQ=17.5+35=52.5

User Fernandezcuesta
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