IsTim
  • IsTim
Triangle ABC is an equilateral triangle, with O as its centroid. Show that OA+OB+OC=0.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Hero
  • Hero
The distance is zero? How can that be?
IsTim
  • IsTim
|dw:1328767321746:dw|
IsTim
  • IsTim
That's what I think it looks like.

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Hero
  • Hero
Yeah, but distance is always positive so how can you add three positive distances and get zero?
IsTim
  • IsTim
|dw:1328767379548:dw|
Hero
  • Hero
Yes, you should post them as vectors.
IsTim
  • IsTim
|dw:1328767692094:dw|
Hero
  • Hero
I'll try to get an answer to this for you. No promises though
IsTim
  • IsTim
Thanks for trying then.
IsTim
  • IsTim
Uh. Hello?
Hero
  • Hero
I have your solution
Hero
  • Hero
1 Attachment
Hero
  • Hero
Any questions?
IsTim
  • IsTim
gimme a sec.
IsTim
  • IsTim
I don't seem to follow the process.
Hero
  • Hero
I'm sorry to hear that. I thought it would have been obvious
IsTim
  • IsTim
Is there a specific order you did this from?
Hero
  • Hero
1. ABC is an equilateral Triangle 2. Segments OA, OB and OC are equidistant from the center 3. AB = BC = AC 4. AB, BC, and AC are labeled side s. 5. OA, OB and OC bisect angles A, B, and C. 6. OA bisects BC. 7. Create point D. 8. BD = -s/2 ; CD = s/2 9. x compnent OA = 0 because it's x component has no distance x compoent OB = -s/2 x component OC = s/2 10. x component 0 + s/2 - s/2 = 0 11. y component OB = s/2 tan(30) = -sqrt(3)/6 y component OB = y component OC = -sqrt(3)/6 12. y component OA = OA = OB 13. OB = s/2 cos(30) = s*sqrt(3)/3 14. y component OA + OB + OC = sqrt(3)/3 - sqrt(3)/6 - sqrt(3)/6 = 0 QED
Hero
  • Hero
Any questions?
Hero
  • Hero
I'll take questions concerning specific steps you have questions on
IsTim
  • IsTim
I'm just interpreting it right now. I guess I'm good for now. Thanks.

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