i dont get thisss question!!

**whmandy** · April 6th 2008, 05:01 PM

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)

**Jhevon** · April 6th 2008, 06:46 PM

Originally Posted by whmandy

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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