document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80049>Question 80049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi i am really hoping you can help me here, i have never uses a tutor before but i was frantically trying to find something to help me so here it goes...\r<BR>\n" );
document.write( "\n" );
document.write( "if i have 3 ordered pairs (3,15) (12,13) (5,7) on a graph and are making a scalene triangle. The question is how to do make this into in the an equation of two of the perpendicular Bisectors. and then getting that information i am not sure how to solve it. i am thinking if i get it started i will be able to finish it but i have NO idea even how to start to get an equation set up.\r<BR>\n" );
document.write( "\n" );
document.write( " THANK YOU SO MUCH! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57401 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=57401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i have 3 ordered pairs (3,15) (12,13) (5,7) on a graph and are making a scalene triangle. The question is how to do make this into in the an equation of two of the perpendicular Bisectors. <BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Choose two of the points: (3,15),(12,13)<BR>\n" );
document.write( "Find the slope and midpoint of the line segment joining the two points.<BR>\n" );
document.write( "slope: [13-15]/[12-3]= -2/9<BR>\n" );
document.write( "mid-pt: x=(3+12)/2=15/2<BR>\n" );
document.write( "........y=(13+15)/2=14<BR>\n" );
document.write( "Now find the equation of the line perdicular to the line segment and<BR>\n" );
document.write( "passing thru the mid-p.<BR>\n" );
document.write( "The slope of the bisector is 9/2 because it must be the negative inverse<BR>\n" );
document.write( "of the line segment;s slope.<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "So, slope = 9/2 and it passes thru (15/2,14)<BR>\n" );
document.write( "Form is y=mx+b<BR>\n" );
document.write( "Substitute the x,y, and m values to find \"b\", as follows:<BR>\n" );
document.write( "14=(9/2)(15/2)+b<BR>\n" );
document.write( "14=135/4 + b<BR>\n" );
document.write( "56/4 = 135/4+b<BR>\n" );
document.write( "b=-79/4<BR>\n" );
document.write( "EQUATION of one of the perpendicular bisectors: y=(9/2)x-79/4<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Follow the same procedure to find the 2nd perpendicular bisector.<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );