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apple_pi

  • 3 years ago

Can someone list all the important points inside a triangle (and briefly describe what they are) which are found using the perpendiculars at midpoint of sides etc. e.g. centroid

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  1. akash123
    • 3 years ago
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    centroid-----intersection of medians incenter----- intersection of internal angle bisectors circumcenter ---intersection of perpendicular bisectors of sides

  2. apple_pi
    • 3 years ago
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    is that all? I thought there were more

  3. akash123
    • 3 years ago
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    and there is one more...orthocenter---intersection of altitudes

  4. apple_pi
    • 3 years ago
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    OK. do you know how to prove these are are collinear? (e.g. using coordinate geom)

  5. akash123
    • 3 years ago
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    yes...you can prove

  6. apple_pi
    • 3 years ago
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    can you help? Please :D

  7. akash123
    • 3 years ago
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    |dw:1347448272061:dw|

  8. akash123
    • 3 years ago
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    prove centroid, orthocenter and circumcenter are collinear

  9. akash123
    • 3 years ago
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    i have taken the coordinate of A=(1,0) for simplicity

  10. apple_pi
    • 3 years ago
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    Yep

  11. akash123
    • 3 years ago
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    now find the centroid...

  12. akash123
    • 3 years ago
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    u know to find the centroid if coordinate of vertices of a triangle are given...

  13. apple_pi
    • 3 years ago
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    not really

  14. akash123
    • 3 years ago
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    http://mathforum.org/library/drmath/view/57665.html

  15. akash123
    • 3 years ago
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    http://www.vitutor.com/geometry/plane/orthocenter.html

  16. apple_pi
    • 3 years ago
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    Don't worry found it in my text book. Thanks anyway

  17. akash123
    • 3 years ago
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    http://www.askiitians.com/iit_jee-Straight_Line/Centroid_Incentre_and_Circum_Centre

  18. akash123
    • 3 years ago
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    open this one...you'll get...how to calculate centroid, inceter...

  19. akash123
    • 3 years ago
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    http://www.askiitians.com/iit_jee-Straight_Line/Centroid_Incentre_and_Circum_Centre this is useful one.

  20. apple_pi
    • 3 years ago
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    I'm getting an error opening that one. If its really useful, would you be so kind to save it as a pdf and attach it

  21. apple_pi
    • 3 years ago
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    @akash123

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