Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

apple_pi

  • 2 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

  • This Question is Closed
  1. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    centroid-----intersection of medians incenter----- intersection of internal angle bisectors circumcenter ---intersection of perpendicular bisectors of sides

  2. apple_pi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is that all? I thought there were more

  3. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and there is one more...orthocenter---intersection of altitudes

  4. apple_pi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    OK. do you know how to prove these are are collinear? (e.g. using coordinate geom)

  5. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes...you can prove

  6. apple_pi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can you help? Please :D

  7. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1347448272061:dw|

  8. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    prove centroid, orthocenter and circumcenter are collinear

  9. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i have taken the coordinate of A=(1,0) for simplicity

  10. apple_pi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yep

  11. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now find the centroid...

  12. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    u know to find the centroid if coordinate of vertices of a triangle are given...

  13. apple_pi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    not really

  14. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    http://mathforum.org/library/drmath/view/57665.html

  15. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    http://www.vitutor.com/geometry/plane/orthocenter.html

  16. apple_pi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Don't worry found it in my text book. Thanks anyway

  17. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    http://www.askiitians.com/iit_jee-Straight_Line/Centroid_Incentre_and_Circum_Centre

  18. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    open this one...you'll get...how to calculate centroid, inceter...

  19. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    http://www.askiitians.com/iit_jee-Straight_Line/Centroid_Incentre_and_Circum_Centre this is useful one.

  20. apple_pi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @akash123

  22. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.