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Math Help - Coordinate Geometry

  1. #1
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    Coordinate Geometry

    So there is this question on the homework that I don't quite get, could you please help me out?

    Beibou is designing a parking lot. A tall mast light will illuminate the three entrances, which will be located at points A(-8,13), B(-4,8) and C(18,10). Beibou needs to position the lamp so that it illuminates each entrance equally.
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  2. #2
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    Quote Originally Posted by buck View Post
    So there is this question on the homework that I don't quite get, could you please help me out?

    Beibou is designing a parking lot. A tall mast light will illuminate the three entrances, which will be located at points A(-8,13), B(-4,8) and C(18,10). Beibou needs to position the lamp so that it illuminates each entrance equally.
    let A, B, and C be three points on a circle whose center will be located where the perpendicular bisectors of AB and BC intersect.
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  3. #3
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    :S I graphed it out A, B, and C and it is a triangle, AB and BC intersect perpendicular?
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  4. #4
    Super Member bigwave's Avatar
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    Cool 3 simultaneous circle equations

    I did probably did it the hardest way

    3 simultaneous circle equations set them to each other since the radius is the same

    (x+8)^2+(y-13)^2=(x+4)^2+(y-8)^2=(x-18)^2+(y-10)^2

    x = \frac{707}{118}

    y = \frac{2371}{118}

    not nice even answers but they seem to be where the center is.
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  5. #5
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    Quote Originally Posted by buck View Post
    :S I graphed it out A, B, and C and it is a triangle, AB and BC intersect perpendicular?
    ... that is not what I posted.
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