document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=431116>Question 431116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vertices of a triangle are given below. Use a determinant and the vertices of the triangle to find the area of the triangle.\r<BR>\n" );
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document.write( "(-3,-7.5), (-1.5,6.5), (1.5,-5.5)\r<BR>\n" );
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document.write( "** By the way: I know that the answer is 30, I just don't understand how to get the answer. 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 #299297 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=299297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area+=+%281%2F2%29%28abs%28det%28A%29%29%29 ALIGN=MIDDLE  ALT=\"Area+=+%281%2F2%29%28abs%28det%28A%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where A =\r<BR>\n" );
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document.write( "| -3  -7.5  1  |<BR>\n" );
document.write( "| -1.5 6.5 1  |<BR>\n" );
document.write( "| 1.5  -5.5 1  | (3x3 matrix)\r<BR>\n" );
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document.write( "Here, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=det%28A%29+=+%28-3%29%286.5+-+%28-5.5%29%29+-+%28-7.5%29%28-1.5+-+1.5%29+%2B+%281%29%288.25+-+9.75%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=det%28A%29+=+-36+-+22.5+-+1.5+=+-60 ALIGN=MIDDLE  ALT=\"det%28A%29+=+-36+-+22.5+-+1.5+=+-60\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28det%28A%29%29+=+60 ALIGN=MIDDLE  ALT=\"abs%28det%28A%29%29+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, the area is equal to 1/2 of 60, or 30. </SPAN>\n" );
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