Results 1 to 7 of 7

Math Help - Vector Triangle

  1. #1
    Senior Member
    Joined
    Feb 2008
    Posts
    383

    Vector Triangle

    As below,

    I know how to find the length. but how to prove?

    thanks.
    Attached Thumbnails Attached Thumbnails Vector Triangle-vector.png  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,605
    Thanks
    1573
    Awards
    1

    Re: Vector Triangle

    Quote Originally Posted by BabyMilo View Post
    As below,
    I know how to find the length. but how to prove?
    This is a truly easy problem.
    So you need need to show some effort on your part.
    How does one find the length of a vector?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Feb 2008
    Posts
    383

    Re: Vector Triangle

    \sqrt 21
    \sqrt 17
    \sqrt 38
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,605
    Thanks
    1573
    Awards
    1

    Re: Vector Triangle

    Quote Originally Posted by BabyMilo View Post
    \sqrt 21
    \sqrt 17
    \sqrt 38
    Do those three numbers form a Pythagorean triple ?
    If so, then the triangle is a right triangle.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member
    Joined
    Feb 2008
    Posts
    383

    Re: Vector Triangle

    Quote Originally Posted by Plato View Post
    Do those three numbers form a Pythagorean triple ?
    If so, then the triangle is a right triangle.
    yes, it does.

    what about the first part?
    how to show they form sides of triangle?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,605
    Thanks
    1573
    Awards
    1

    Re: Vector Triangle

    Quote Originally Posted by BabyMilo View Post
    yes, it does.
    what about the first part?
    how to show they form sides of triangle?
    Good grief, a triangle is a triangle is a triangle.
    A Pythagorean triple gives a right triangle.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,326
    Thanks
    1298

    Re: Vector Triangle

    Three line segments, of lengths a, b, and c, can form a triangle as long as no one length is greater than the sum of the other two (the shortest distance between two points is a straight line). But if c^2= a^2+ b^2 it is certainly true that the longest side is c and c< a+ b. A right triangle is a triangle as Plato said.

    (To see that c^2= a^2+ b^2 leads to c< a+ b [as long as neither of a or b is 0], add the positive number 2ab to both sides of c^2= a^2+ b^2. You get c^2+ 2ab= a^2+ 2ab+ b^2= (a+ b)^2. Since (a+ b)^2 is larger than c^2, a+ b is larger than c.)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Triangle / Vector Properties
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 16th 2011, 01:30 AM
  2. Replies: 1
    Last Post: April 29th 2010, 09:22 AM
  3. [SOLVED] How to find vector of right triangle w/ 3 pts
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: March 6th 2010, 04:54 AM
  4. Vector triangle problem...
    Posted in the Geometry Forum
    Replies: 3
    Last Post: April 28th 2009, 04:31 AM
  5. Vector triangle help
    Posted in the Calculus Forum
    Replies: 7
    Last Post: January 26th 2008, 09:58 AM

Search Tags


/mathhelpforum @mathhelpforum