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Math Help - Problem in Angle Bisectors

  1. #1
    Member aldrincabrera's Avatar
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    Smile Problem in Angle Bisectors

    ,.good day,.,need ur help with this,.,

    suppose you know the equations of two lines that intersect at a certain point, and suppose you know the point of intersection,.how will you find the equation of the angle bisector of those lines???thnx,.,.
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  2. #2
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    Re: Problem in Angle Bisectors

    Quote Originally Posted by aldrincabrera View Post
    suppose you know the equations of two lines that intersect at a certain point, and suppose you know the point of intersection,.how will you find the equation of the angle bisector of those lines?
    If you can use vector methods then there is a simple solution.
    Suppose that \vec{A}~\&~\vec{B} are two two vectors then the vector \vec{C}=\|\vec{A}\|\vec{B}+\|\vec{B}\|\vec{A} bisects the angle between \vec{A}~\&~\vec{B}.
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    Re: Problem in Angle Bisectors

    well...use congruence triangle, the distance from any point of the angle bisector to the two arm is equal. So apply the formula : |Au+Bv+c/sqrt(A^2+B^2)| (the distance of point (u,v) to the straight line Ax+By+c)
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    Re: Problem in Angle Bisectors

    if two lines are ax+by+c=0 and dx+ey+f=0 then equation of angle bisector will be
    \frac{ax+by+c}{\sqrt{a^2+b^2}} = \frac{dx+ey+f}{\sqrt{d^2+e^2}}
    Last edited by waqarhaider; September 14th 2011 at 09:54 PM. Reason: latex not used properly
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