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Math Help - i dont get thisss question!!

  1. #1
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    i dont get thisss question!!

    find the center of the circle that circumscribes triangle ABC.

    1. A (0,0),B (6,4),C (6,0)



    2. A (-3,11),B (9,11),C (-3,21)
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by whmandy View Post
    find the center of the circle that circumscribes triangle ABC.

    1. A (0,0),B (6,4),C (6,0)
    just set up and solve the three simultaneous equations.

    you know that the equation of a circle is: (x - a)^2 + (y - b)^2 = r^2 where (a,b) is the center.

    take (x,y) to be (0,0),~(6,4) and (6,0) respectively, you get:

    (0 - a)^2 + (0 - b)^2 = r^2 .................................(1)
    (6 - a)^2 + (4 - b)^2 = r^2 .................................(2)
    (6 - a)^2 + (0 - b)^2 = r^2 .................................(3)

    now solve this system for a and b only

    the second problem is done similarly
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