document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=434161>Question 434161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A(0,5)B(7,1)C(-3,-2) triangle. How would i find the area? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300862 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29abs%28det%28A%29%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29abs%28det%28A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=det%28A%29 ALIGN=MIDDLE  ALT=\"det%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the determinant of the 3x3 matrix formed by using the vertices with a set of 1's. The matrix we are evaluating is equal to\r<BR>\n" );
document.write( "\n" );
document.write( "     0   5   1<BR>\n" );
document.write( "     7   1   1<BR>\n" );
document.write( "    -3  -2   1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I'll leave the arithmetic to you. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );