document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=869828>Question 869828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the triangular-shaped patio has sides 23ft, 17ft, and 26ft. 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 #524511 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=524511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw a triangle; mine goes like this:<BR>\n" );
document.write( "Base of 26, left side is 17, right side is 23.  The altitude runs from the top vertex, meeting perpendicularly to the 26 length base.  Angle measure t is the intersection at the left for he 17 and the 26 lengths sides.\r<BR>\n" );
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document.write( "Law Of Cosines gives, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%5E2%2B26%5E2-2%2A17%2A26%2Acos%28t%29=23%5E2 ALIGN=MIDDLE  ALT=\"17%5E2%2B26%5E2-2%2A17%2A26%2Acos%28t%29=23%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "skipping the steps,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28cos%28t%29=109%2F221%29 ALIGN=MIDDLE  ALT=\"highlight_green%28cos%28t%29=109%2F221%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Pythagorean Identity, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28t%29=1-cos%5E2%28t%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28t%29=1-cos%5E2%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ". simplification steps<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28t%29=sqrt%281-%28109%2F221%29%5E2%29 ALIGN=MIDDLE  ALT=\"sin%28t%29=sqrt%281-%28109%2F221%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ". more simplifications,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28sin%28t%29=%284%2F221%29sqrt%282310%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28sin%28t%29=%284%2F221%29sqrt%282310%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "AREA was wanted.<BR>\n" );
document.write( "A for Area.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29%28base%29%28altitude%29 ALIGN=MIDDLE  ALT=\"A=%281%2F2%29%28base%29%28altitude%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where \"altitude\" is the height.<BR>\n" );
document.write( "The altitude is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%2Asin%28t%29 ALIGN=MIDDLE  ALT=\"17%2Asin%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and we now found sin(t).<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28A=%281%2F2%2926%2A17%2A%284%2F221%29sqrt%282310%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28A=%281%2F2%2926%2A17%2A%284%2F221%29sqrt%282310%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=13%281%2F13%29%2A4sqrt%282310%29 ALIGN=MIDDLE  ALT=\"A=13%281%2F13%29%2A4sqrt%282310%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%28A=4sqrt%282310%29%29 ALIGN=MIDDLE  ALT=\"highlight%28A=4sqrt%282310%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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