document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=957774>Question 957774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I was studying analytic geometry and im having a hard to thsee queastions I dont know where to begin, I just need patterns. Hope you could help me.\r<BR>\n" );
document.write( "\n" );
document.write( "1. finf the length of the one leg of an isosceles triangle with vertices A(5,3),B(4,-3),and C(-1,2).\r<BR>\n" );
document.write( "\n" );
document.write( "2.Find the area of a triangle whose verticea are (2,3), (6,9), (2,1).\r<BR>\n" );
document.write( "\n" );
document.write( "lastly: From the distance from the line 5x=12y+26 to the point P(3,-5).\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #585327 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=585327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C8%2C-6%2C4%2Cgrid%281%29%2Cline%285%2C3%2C4%2C-3%29%2Cline%284%2C-3%2C-1%2C2%29%2Cline%28-1%2C2%2C5%2C3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Use the distance formula,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BAB%5D%5E2=%284-5%29%5E2%2B%28-3-3%29%5E2 ALIGN=MIDDLE  ALT=\"D%5BAB%5D%5E2=%284-5%29%5E2%2B%28-3-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BAB%5D%5E2=%28-1%29%5E2%2B%28-6%29%5E2 ALIGN=MIDDLE  ALT=\"D%5BAB%5D%5E2=%28-1%29%5E2%2B%28-6%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BAB%5D%5E2=1%2B36 ALIGN=MIDDLE  ALT=\"D%5BAB%5D%5E2=1%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BAB%5D%5E2=37 ALIGN=MIDDLE  ALT=\"D%5BAB%5D%5E2=37\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BAB%5D%5E2=sqrt%2837%29 ALIGN=MIDDLE  ALT=\"D%5BAB%5D%5E2=sqrt%2837%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C10%2C-2%2C10%2Cgrid%281%29%2Cline%282%2C3%2C6%2C9%29%2Cline%286%2C9%2C2%2C1%29%2Cline%282%2C1%2C2%2C3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the graph, you can tell that the base of the triangle is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2 ALIGN=MIDDLE  ALT=\"b=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the height of the triangle is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=4 ALIGN=MIDDLE  ALT=\"h=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29bh ALIGN=MIDDLE  ALT=\"A=%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29%282%29%284%29 ALIGN=MIDDLE  ALT=\"A=%281%2F2%29%282%29%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=4 ALIGN=MIDDLE  ALT=\"A=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "You can find the shortest distance by finding a perpendicular line going through (3,-5).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=12y%2B26 ALIGN=MIDDLE  ALT=\"5x=12y%2B26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12y=5x-26 ALIGN=MIDDLE  ALT=\"12y=5x-26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F12%29x-13%2F6 ALIGN=MIDDLE  ALT=\"y=%285%2F12%29x-13%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Perpendicular line have slopes that are negative reciprocals.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-5%29=-%2812%2F5%29%28x-3%29 ALIGN=MIDDLE  ALT=\"y-%28-5%29=-%2812%2F5%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=-%2812%2F5%29x%2B36%2F5 ALIGN=MIDDLE  ALT=\"y%2B5=-%2812%2F5%29x%2B36%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%2812%2F5%29x%2B11%2F5 ALIGN=MIDDLE  ALT=\"y=-%2812%2F5%29x%2B11%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the point of intersection between the two lines.<BR>\n" );
document.write( "Then find the distance between the intersection point and (3,-5).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F12%29x-13%2F6=-%2812%2F5%29x%2B11%2F5 ALIGN=MIDDLE  ALT=\"%285%2F12%29x-13%2F6=-%2812%2F5%29x%2B11%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x-130=-144x%2B132 ALIGN=MIDDLE  ALT=\"25x-130=-144x%2B132\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=169x=262 ALIGN=MIDDLE  ALT=\"169x=262\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=262%2F169 ALIGN=MIDDLE  ALT=\"x=262%2F169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F12%29%28262%2F169%29-13%2F6 ALIGN=MIDDLE  ALT=\"y=%285%2F12%29%28262%2F169%29-13%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=655%2F1014-2197%2F1014 ALIGN=MIDDLE  ALT=\"y=655%2F1014-2197%2F1014\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1542%2F1014 ALIGN=MIDDLE  ALT=\"y=-1542%2F1014\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-257%2F169 ALIGN=MIDDLE  ALT=\"y=-257%2F169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then the distance is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%283-262%2F169%29%5E2%2B%28-5-%28-257%2F169%29%29%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=%283-262%2F169%29%5E2%2B%28-5-%28-257%2F169%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%28245%2F169%29%5E2%2B%28-588%2F169%29%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=%28245%2F169%29%5E2%2B%28-588%2F169%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%2860025%29%2F169%5E2%2B%28345744%29%2F169%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=%2860025%29%2F169%5E2%2B%28345744%29%2F169%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%28405769%29%2F169%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=%28405769%29%2F169%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%28637%29%5E2%2F169%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=%28637%29%5E2%2F169%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=637%2F169 ALIGN=MIDDLE  ALT=\"D=637%2F169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C8%2C-8%2C2%2Cgrid%281%29%2C%0D%0Acircle%283%2C-5%2C0.2%29%2C%0D%0Acircle%28262%2F169%2C-257%2F169%2C0.2%29%2C%0D%0A%0D%0Ablue%28line%283%2C-5%2C262%2F169%2C-257%2F169%29%29%2C%0D%0Agraph%28300%2C300%2C-2%2C8%2C-8%2C2%2C%285%2F12%29x-26%2F12%2C-%2812%2F5%29x%2B11%2F5%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );