document.write( "Question 550393: The co-ordinates of the vertex A of a square ABCD are (1,2) and the equation of the diagonal BD is x+2y=10.Find the equation of the other diagonal and the co-ordinates of centre of the square.pls...help me \n" ); document.write( "
Algebra.Com's Answer #358989 by KMST(5328)![]() ![]() You can put this solution on YOUR website! The diagonals of a square are perpendicular, so you need to find the equation of the line that contains AC, perpendicular to \n" ); document.write( "The line that contains BD is described by the equivalent equations \n" ); document.write( " \n" ); document.write( "So the slope of that line is \n" ); document.write( "The slope of all lines perpendicular to that line is \n" ); document.write( " \n" ); document.write( "The equation of a line with slope 2 passing through point (1, 2) is \n" ); document.write( " \n" ); document.write( "So the equations of the two diagonals are \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "They meet at the center of the square. The coordinates of the center of the square can be found by solving the system formed by the to equations. \n" ); document.write( "Substituting \n" ); document.write( " \n" ); document.write( "Then, \n" ); document.write( "The center of the square is (2,4). |