document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=864804>Question 864804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A woman is planning a patio. the triangular-shaped patio has sides 25 ft, 23 ft, and 30 ft. I need to find the number of square feet of surface area to be covered with concrete.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521361 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=521361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is not a right triangle because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%5E2%2B23%5E2=1154%3C%3E900 ALIGN=MIDDLE  ALT=\"25%5E2%2B23%5E2=1154%3C%3E900\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Let q = measure of angle for vertex of the 23 ft. side with the 30 ft. side.<BR>\n" );
document.write( "The 25 ft. side is opposite of angle with measure q.\r<BR>\n" );
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document.write( "Law of Cosines<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%5E2%2B30%5E2-2%2A23%2A30%2Acos%28q%29=25%5E2 ALIGN=MIDDLE  ALT=\"23%5E2%2B30%5E2-2%2A23%2A30%2Acos%28q%29=25%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2A23%2A30%2Acos%28q%29=25%5E2-23%5E2-30%5E2 ALIGN=MIDDLE  ALT=\"-2%2A23%2A30%2Acos%28q%29=25%5E2-23%5E2-30%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28q%29=%2820%5E2%2B23%5E2-25%5E2%29%2F%282%2A23%2A30%29 ALIGN=MIDDLE  ALT=\"cos%28q%29=%2820%5E2%2B23%5E2-25%5E2%29%2F%282%2A23%2A30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28q%29=304%2F%282%2A23%2A30%29 ALIGN=MIDDLE  ALT=\"cos%28q%29=304%2F%282%2A23%2A30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=152%2F%2823%2A30%29 ALIGN=MIDDLE  ALT=\"152%2F%2823%2A30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=76%2F%2823%2A15%29 ALIGN=MIDDLE  ALT=\"76%2F%2823%2A15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28cos%28q%29=76%2F345%29 ALIGN=MIDDLE  ALT=\"highlight_green%28cos%28q%29=76%2F345%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----something seems not right about this---<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28q=77.2739%29 ALIGN=MIDDLE  ALT=\"highlight_green%28q=77.2739%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees.\r<BR>\n" );
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document.write( "The height of this triangle, using base of 30 feet, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2Asin%2877.2739%29 ALIGN=MIDDLE  ALT=\"23%2Asin%2877.2739%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "Area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28A=%281%2F2%2930%2A23%2Asin%2877.2739%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28A=%281%2F2%2930%2A23%2Asin%2877.2739%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which you need to simplify, and you will want to round to the nearest square foot, or maybe to the nearest tenth of a square foot. </SPAN>\n" );
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