document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008657>Question 1008657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> show that the points (-3,1), (3, -1), (1,3) are the vertices of an isosceles triangle. Find its Area </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631019 by </B><A HREF=/tutors/aboutme.mpl?userid=wynger566><B>wynger566(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=wynger566><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=631019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let, A(-3,1), B(3,-1) and C(1,3) be the given points.<BR>\n" );
document.write( "Using distance formula;<BR>\n" );
document.write( "d=&#8730;[(x2-x1)^2+(y2-y1)^2]…we get<BR>\n" );
document.write( "AB=&#8730;40 <BR>\n" );
document.write( "BC=&#8730;20 units and <BR>\n" );
document.write( "AC=&#8730;20 units<BR>\n" );
document.write( "Clearly BC=AC. Hence, ABC is an isosceles triangle. <BR>\n" );
document.write( "For area '<BR>\n" );
document.write( "From C drop perpendicular to AB then<BR>\n" );
document.write( "a name it as D<BR>\n" );
document.write( "Using mid point formula;<BR>\n" );
document.write( "we get D= (0,0)-------> origin<BR>\n" );
document.write( "also length of CD is &#8730;10 units<BR>\n" );
document.write( "Finally area=1/2 AB.CD=1/2 &#8730;40 .&#8730;10 =10 sq. units </SPAN>\n" );
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