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) You can put this solution on YOUR website! This is similar. \n" ); document.write( "---------------- \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 \n" ); document.write( "----- \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 \n" ); document.write( "--- \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 \n" ); document.write( "========================== \n" ); document.write( "Do the same for AC and BC \n" ); document.write( "======================================= \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. \n" ); document.write( " \n" ); document.write( " |