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Math Help - line segment

  1. #1
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    line segment

    1.
    a line segement has midpoint B(4,3) and one end at A(-6,4). find the coordinate of the other end of the line segment?


    2. The points A(-4,10) B(-1,1) and C(2,7) form a triangle

    (a) is this a right angle triangle?

    (b) what is the length of the triangles perimeter?


    any help appreciated
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  2. #2
    Senior Member Danneedshelp's Avatar
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    Quote Originally Posted by decoy808 View Post
    1.
    a line segement has midpoint B(4,3) and one end at A(-6,4). find the coordinate of the other end of the line segment?
    midpoint formula: let A=(x_{1},y_{1}) and B=(x_{2},y_{2}), then M=(\frac{1}{2}(x_{1}+x_{2}),\frac{1}{2}(y_{1}+y_{2  })).

    So, in our case, A=(-6,4) and M=midpoint=(4,3). Therefore, you have to solve the equation (4,3)=(\frac{1}{2}(-6+x_{2}),\frac{1}{2}(4+y_{2})) which can be written as (4=\frac{1}{2}(-6+x_{2}),3=\frac{1}{2}(4+y_{2})). Solving those two equations should give you the point you are looking for.
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  3. #3
    Junior Member mrmohamed's Avatar
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    Quote Originally Posted by decoy808 View Post
    1.
    Quote Originally Posted by decoy808 View Post

    a line segement has midpoint B(4,3) and one end at A(-6,4). find the coordinate of the other end of the line segment?


    2. The points A(-4,10) B(-1,1) and C(2,7) form a triangle

    (a) is this a right angle triangle?

    (b) what is the length of the triangles perimeter?


    any help appreciated

    Hi all
    the solution of the second one

    with my best wishes
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