Proof: Triangle altitudes are concurrent (orthocenter) | Geometry | Khan Academy

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  • เผยแพร่เมื่อ 4 ต.ค. 2024
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    Showing that any triangle can be the medial triangle for some larger triangle. Using this to show that the altitudes of a triangle are concurrent (at the orthocenter).
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ความคิดเห็น • 27

  • @ashwinarora7561
    @ashwinarora7561 11 ปีที่แล้ว +10

    all the videos of khanacademy are a life saver

  • @bruceedward3079
    @bruceedward3079 7 ปีที่แล้ว +5

    Beautiful, simple and elegant proof, thank you

  • @xedgesharpz6525
    @xedgesharpz6525 11 ปีที่แล้ว +12

    Ok, now my question is why all the perpendicular bisectors are concurrent.....

    • @yjl5373
      @yjl5373 5 ปีที่แล้ว +2

      The meeting point is the circumcenter, and that can be proved very easily

    • @4ltrz555
      @4ltrz555 3 ปีที่แล้ว +7

      @@yjl5373 he has probably found his answer by now lol

    • @TechToppers
      @TechToppers 3 ปีที่แล้ว

      @@4ltrz555 😂

  • @muhammadjavid3681
    @muhammadjavid3681 6 ปีที่แล้ว +1

    I would like to request the tutor to make a video on how to find and prove the orientation of vectors!

  • @ch3zin
    @ch3zin 13 ปีที่แล้ว +3

    Amazing!

  • @tapaspal2968
    @tapaspal2968 5 ปีที่แล้ว +1

    How is centroid of a triangle is equal to the orthocentre of medial triangle

  • @Nitrodino7875
    @Nitrodino7875 10 ปีที่แล้ว +1

    i dont see how people dont WATCH THESE

  • @akulbhendeofficial2585
    @akulbhendeofficial2585 11 ชั่วโมงที่ผ่านมา +1

    Math antics is better than this one

  • @hedonism13
    @hedonism13 13 ปีที่แล้ว

    The new art history videos - will they be being embedded on the KA website soon?

  • @sathvikkotapati7530
    @sathvikkotapati7530 4 ปีที่แล้ว

    To prove the concurrency of altitudes

  • @muhammadjavid3681
    @muhammadjavid3681 6 ปีที่แล้ว

    If two vectors A and B are non zero vectors and A=√2B then what is the orientation of these vectors means parallel,anti parallel,coplanar and concurrent? Can anybody explain?

    • @amithandge1018
      @amithandge1018 10 หลายเดือนก่อน

      Multiplying B vector by a pure number (√2 here)will only affect the magnitude not direction so they are parallel co planar vectors

  • @rajeshkumar-ec4vj
    @rajeshkumar-ec4vj 6 ปีที่แล้ว

    Pls could u give the proof for concurrency of meadian s of triangle without using vectors

    • @lifestyle9709
      @lifestyle9709 4 ปีที่แล้ว +1

      use the ceva's theorem

    • @TechToppers
      @TechToppers 3 ปีที่แล้ว

      @@lifestyle9709 Or better, use midpoint theorem. It's way more elegant and pleasing.

  • @SkillUpMobileGaming
    @SkillUpMobileGaming 7 ปีที่แล้ว +2

    I'VE GOT A FUCKING FINAL TOMORROW...............

  • @CJhakeV
    @CJhakeV 13 ปีที่แล้ว +1

    Meh. I already know what 1+1 is..

  • @sathvikkotapati7530
    @sathvikkotapati7530 4 ปีที่แล้ว

    But I know a simpler way

  • @kevinmathewson4272
    @kevinmathewson4272 6 ปีที่แล้ว

    the crime is committed at 2:35

    • @dannyram1989
      @dannyram1989 5 ปีที่แล้ว

      Thanks for pointing that out, thought I was going crazy.

  • @spiderjump
    @spiderjump 8 ปีที่แล้ว

    is there another way to prove that orthocenter is concurrent?

    • @TechToppers
      @TechToppers 3 ปีที่แล้ว

      I know 2, vector and coordinate geometry.

  • @guygremaux2512
    @guygremaux2512 9 ปีที่แล้ว

    Illuminati