document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936288>Question 936288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use coordinate geometry to prove that triangle PQR is isosceles...<BR>\n" );
document.write( "^<BR>\n" );
document.write( "|<BR>\n" );
document.write( "|---------Q (a,b)<BR>\n" );
document.write( "|<BR>\n" );
document.write( "|<BR>\n" );
document.write( "|<BR>\n" );
document.write( "|<BR>\n" );
document.write( "| P(0,0)-------------R(2a,0)<BR>\n" );
document.write( "------------------------------> </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569738 by </B><A HREF=/tutors/aboutme.mpl?userid=hovuquocan1997><B>hovuquocan1997(83)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hovuquocan1997><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=569738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have the distance formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%28y1-y2%29%5E2%2B%28x1-x2%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28%28y1-y2%29%5E2%2B%28x1-x2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "So first, we find the distance between P and Q \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%28b-0%29%5E2%2B%28a-0%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28%28b-0%29%5E2%2B%28a-0%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28b%5E2%2Ba%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28b%5E2%2Ba%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Then, we find the distance between Q and R \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%28b-0%29%5E2%2B%28a-2a%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28%28b-0%29%5E2%2B%28a-2a%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28b%5E2%2B%28-a%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28b%5E2%2B%28-a%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28b%5E2%2Ba%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28b%5E2%2Ba%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-a%29%5E2=a%5E2 ALIGN=MIDDLE  ALT=\"%28-a%29%5E2=a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "We can see that the two distance are the same, so we can conclude that PQ=QR<BR>\n" );
document.write( "A triangle that has two equal sides is isosceles.\r<BR>\n" );
document.write( "\n" );
document.write( ":D  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );