document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072904>Question 1072904</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you build a deck in the shape of an equilateral triangle with a height of 27ft, how long is one side of the deck? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #687778 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=687778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If by \"height\" is meant \"altitude\", then this being in the plane of the deck. cuts this equilateral triangle shape into two congruent  special 30-60-90 right triangles.  \r<BR>\n" );
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document.write( "Do you see?  Pythagorean Theorem, and hypotenuse is the length of one side of the deck.\r<BR>\n" );
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document.write( "Half the equilateral triangle, special 30-60-90\r<BR>\n" );
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document.write( "leg, 27 feet<BR>\n" );
document.write( "leg, x<BR>\n" );
document.write( "hypotenuse, 2x<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B27%5E2=%282x%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B27%5E2=%282x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B27%5E2=4x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B27%5E2=4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%5E2=3x%5E2 ALIGN=MIDDLE  ALT=\"27%5E2=3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2=3%2A9%2A27 ALIGN=MIDDLE  ALT=\"3x%5E2=3%2A9%2A27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9sqrt%283%29 ALIGN=MIDDLE  ALT=\"x=9sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "side of the equilateral triangle, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=highlight%2818%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"2x=highlight%2818%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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