document.write( "Question 1041858: The sides of a triangle are along the lines x-2y=0, 5x-2y=8, and 3x+2y=21. Find the equation of the circle circumscribed about a triangle. \n" ); document.write( "
Algebra.Com's Answer #656807 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "It's extremely messy.  Are you sure you didn't make any\r\n" );
document.write( "mistakes in copying those three line's equations?\r\n" );
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document.write( "Solve each pair of equations to find the three vertices\r\n" );
document.write( "of the triangle, which are the messy points as shown.\r\n" );
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document.write( "Then substitute those horrible points in\r\n" );
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document.write( "\"x%5E2%2By%5E2%2BDx%2BEy%2BF=0\"\r\n" );
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document.write( "and you get three equations in the three unknowns\r\n" );
document.write( "D,E, and F, and you solve that horrible system\r\n" );
document.write( "of three equations and three unknowns.  After an \r\n" );
document.write( "hour's work you find that\r\n" );
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document.write( "D = -785/128, E = -375/64, and F = -105/8\r\n" );
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document.write( "So the equation of the circle is:\r\n" );
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document.write( "\"x%5E2%2By%5E2-expr%28785%2F128%29x-expr%28375%2F64%29y-expr%28105%2F8%29=0\"\r\n" );
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document.write( "It's a terrible answer, but according to what is\r\n" );
document.write( "given, this is absolutely correct.  However, it \r\n" );
document.write( "is hard to believe that any teacher would assign\r\n" );
document.write( "a problem to a student which would come out so\r\n" );
document.write( "terrible, when there are many other problems\r\n" );
document.write( "which come out with whole numbers that would\r\n" );
document.write( "show exactly the same principle.  Maybe you\r\n" );
document.write( "copied a sign wrong or something.  Check and see.\r\n" );
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document.write( "Edwin
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