document.write( "Question 800995: a new lookout tower is to be equidistance from three ranger stations. If the stations are at positions A(-90,28) B(0, -35) C(125,20) find the coordinates of the point where the new tower should be built
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Algebra.Com's Answer #483407 by Alan3354(69443)\"\" \"About 
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\n" ); document.write( "A triangle has three vertices: A(3,5), B(7,1), and C(1,-1)
\n" ); document.write( "a)Find the equation of the perpendicular bisectors of: AB, BC, and AC
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\n" ); document.write( "Find the line thru A & B
\n" ); document.write( "Slope = diffy/diffx = -4/4 = -1
\n" ); document.write( "Slope m of lines perpendicular is the neg inverse, m = 1
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\n" ); document.write( "Find the midpoint: get the average of x & y
\n" ); document.write( "x: (3+7)/2 = 5
\n" ); document.write( "y: (5+1)/2 = 3
\n" ); document.write( "Midpoint (5,3)
\n" ); document.write( "Now get the eqn of the line m = 1 thru (5,3)
\n" ); document.write( "Use y = mx + b and the point to find b, the y-intercept
\n" ); document.write( "3 = 1*5 + b
\n" ); document.write( "b = -2
\n" ); document.write( "--> eqn is y = x - 2
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\n" ); document.write( "Do the same for AC and BC
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\n" ); document.write( "b)Find the coordinates of X, the point of intersection of the perpendicular bisector of AB and the perpendicular bisector of BC
\n" ); document.write( "When you have the 2 eqns, solve for the point of intersection.
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