document.write( "Question 1184233: locate the point equidistant from A = (3,8), B = (5,2) and C = (-3,-4) \n" ); document.write( "

Algebra.Com's Answer #814756 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "There is a standard algebraic and there is a standard geometric procedures to find that point.\r
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\n" ); document.write( "\n" ); document.write( " (1) Geometric procedure\r
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document.write( "Construct the perpendicular bisector to the segment AB.\r\n" );
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document.write( "Construct the perpendicular bisector to the segment BC.\r\n" );
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document.write( "Take the intersection point: it is EQUIDISTANT from the three given points A, B and C.\r\n" );
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\n" ); document.write( "\n" ); document.write( " (2) Algebra procedure\r
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document.write( "Write equation of the straight line which is the perpendicular bisector of the segment AB.\r\n" );
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document.write( "Write equation of the straight line which is the perpendicular bisector of the segment BC.\r\n" );
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document.write( "Solve the system of the two equation to find the intersection point: : it is EQUIDISTANT from the three given points A, B and C.\r\n" );
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