anonymous
  • anonymous
Given that Y is the centroid of triangle STU, find, find x.
Geometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1434593162132:dw|
anonymous
  • anonymous
@mathmate
anonymous
  • anonymous
answer selection A. 4 B. 10 C. 15 D. 30

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More answers

anonymous
  • anonymous
I got A 2x-3=9 subytract 3 from both sides, then subtract 2. which gives me 4
mathmate
  • mathmate
You are assuming that the triangle is isosceles, which is not given!
mathmate
  • mathmate
You may want to use the properties of centroid to add a few more dimensions to the triangle. Can you do that?
anonymous
  • anonymous
I don't know
mathmate
  • mathmate
Medians divide a side into two equal parts!
anonymous
  • anonymous
by working the problem out could it be any of the other answer selections
mathmate
  • mathmate
Actually, I don't find enough information to solve the problem, but find enough information to eliminate the other choices! |dw:1434595091396:dw|
anonymous
  • anonymous
what other choices
mathmate
  • mathmate
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.
mathmate
  • mathmate
Example: St=18, XT=15 For case x=4, 2x-3=11 Since 11+15>18, x=4 is a possible solution.
mathmate
  • mathmate
Can you post the original question as an image?
mathmate
  • mathmate
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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