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anonymous

  • one year ago

Given that Y is the centroid of triangle STU, find, find x.

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  1. anonymous
    • one year ago
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    |dw:1434593162132:dw|

  2. anonymous
    • one year ago
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    @mathmate

  3. anonymous
    • one year ago
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    answer selection A. 4 B. 10 C. 15 D. 30

  4. anonymous
    • one year ago
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    I got A 2x-3=9 subytract 3 from both sides, then subtract 2. which gives me 4

  5. mathmate
    • one year ago
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    You are assuming that the triangle is isosceles, which is not given!

  6. mathmate
    • one year ago
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    You may want to use the properties of centroid to add a few more dimensions to the triangle. Can you do that?

  7. anonymous
    • one year ago
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    I don't know

  8. mathmate
    • one year ago
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    Medians divide a side into two equal parts!

  9. anonymous
    • one year ago
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    by working the problem out could it be any of the other answer selections

  10. mathmate
    • one year ago
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    Actually, I don't find enough information to solve the problem, but find enough information to eliminate the other choices! |dw:1434595091396:dw|

  11. anonymous
    • one year ago
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    what other choices

  12. mathmate
    • one year ago
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    Well, the only recourse I see is that in any triangle, the sum of the two shorter sides must exceed the longest side. Try that with the different options on triangle STX and see if you can eliminate some choices.

  13. mathmate
    • one year ago
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    Example: St=18, XT=15 For case x=4, 2x-3=11 Since 11+15>18, x=4 is a possible solution.

  14. mathmate
    • one year ago
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    Can you post the original question as an image?

  15. mathmate
    • one year ago
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    There is one theorem we could use, which is the six triangles created by the medians all have equal areas. If we assume mSX=3y, mUV=3z, then we can form 3 equations by equating areas of 4 of the six triangles, thus producing 3 equations to solve for x, (y and z). However, the equation of areas using heron's formula end up quite messy, and will require the use of numerical to solve.

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