Results 1 to 2 of 2

Math Help - Centre of gravity of a right angled triangle?! is this right?

  1. #1
    Newbie
    Joined
    May 2009
    Posts
    17

    Centre of gravity of a right angled triangle?! is this right?

    If I have a triangle with the coodinates A(0,0) B (30,0) and C (30,40)

    Is the centre of gravity 1/3 of the base and 1/3 of the height?

    would this make it (10, 40/3) ??
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jan 2009
    Posts
    591
    Quote Originally Posted by gva0324 View Post
    If I have a triangle with the coodinates A(0,0) B (30,0) and C (30,40)

    Is the centre of gravity 1/3 of the base and 1/3 of the height?

    would this make it (10, 40/3) ??
    The center of gravity will balance the triangle in the x direction, as well as in the y direction.

    The area of the triangle is

    \frac{30 \times 40}{2} = 600

    You now need a triangle such that  \frac{X \times Y}{2} = 300

    The ratio of the main triangle's height to the base is \frac {40}{30}
    You need to have  \frac{Y}{X} = \frac{4}{3} or  Y \, = \, 1.33333 X

     \frac {X \times 1.33333 X}{2}=300

     X^2 = 450

     X = \sqrt{450} = 21.2132

    The center of gravity will occur along the triangle with the x coordinate equal to 21.2132.

    You will need to do the appropriate calculations for the y coordinate.

    You want to cut the large triangle so that the upper or smaller triangle is half the area of the larger triangle.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How do i find the centre of gravity
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: January 10th 2011, 10:59 AM
  2. Finding a Common centre of gravity
    Posted in the Advanced Math Topics Forum
    Replies: 7
    Last Post: October 6th 2010, 09:28 AM
  3. Centre of Gravity
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 5th 2009, 02:46 AM
  4. Centre of gravity
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 14th 2009, 09:56 AM
  5. centre of gravity
    Posted in the Geometry Forum
    Replies: 1
    Last Post: December 8th 2008, 02:21 PM

Search Tags


/mathhelpforum @mathhelpforum