anonymous
  • anonymous
prove that the centroid of a scalene triangle divides the line joining orthocenter and circumcenter in the ratio 2:1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Ewwww geometry. That is all.
anonymous
  • anonymous
cant apply anythng here.........
anonymous
  • anonymous
The Euler Line of the triangle starts at the circumcenter, goes through the centroid, to the orthocenter... It's a start.

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anonymous
  • anonymous
Lol at that being a start..
anonymous
  • anonymous
wtf........jas cant read ur minds
anonymous
  • anonymous
It's apparently a purely geometric proof. http://planetmath.org/encyclopedia/EulerLineProof.html
anonymous
  • anonymous
You thought it was going to be something other than geometric...?
anonymous
  • anonymous
I was hopeful...
anonymous
  • anonymous
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anonymous
  • anonymous
If I had formulas for centroid, orthocenter, and circumcenter of a scalene triangle based upon the vertexes, I could in theory show the ratio of the distances is always 1/2.
anonymous
  • anonymous
No, you couldn't. Regardless of whether it is possible, YOU couldn't do it.
anonymous
  • anonymous
Ouch...
anonymous
  • anonymous
You're welcome.
anonymous
  • anonymous
I didn't see the need to be degrading. I am simply here to try to help.
anonymous
  • anonymous
Just joshin', no need to call a wambulance :(
amistre64
  • amistre64
this is what I have so far, since there is no restrictions to define a scalene other than different angles/side lenths...a right scalene should prove it just as well.... i used the 3-4-5
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amistre64
  • amistre64
if I could prove that the line bisects the hypot at a right angle, its solved lol
anonymous
  • anonymous
Unfortunately, I think proof need to be more general than 'it works for a RA with these sides => it works for all' But I hate geometry, so meh.
anonymous
  • anonymous
feeling sleepy....c u guys later
amistre64
  • amistre64
thats true, proofs need to be more rigorous, but I aint to good with that part ;)
anonymous
  • anonymous
I am. When there's no drawing involved.
amistre64
  • amistre64
I get congruent triangles like this..... but is there a theorum which states that the apex of a triangle within an rectangle has a ratio of sides equal to the distance between the 2 top corners?
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amistre64
  • amistre64
Since we have 2 congruent triangles with equal angles A and B, then the ration of 50/3 sinB would match 25/3 sinB to be true.
amistre64
  • amistre64
got it!!
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