document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123406>Question 1123406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An artist has been commissioned to make a stained glass window in the shape of a regular octagon. The octagon must fit inside a 26in square space. Determine the length of each side of the octagon. Round to the nearest hundredth of an inch.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739795 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=739795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Picture the octagon as the 26-inch square with the corners cut off at 45-degree angles.  The cut-off corners are 45-45-90 right triangles; the hypotenuse of each of those triangles is a side of the octagon.<br><BR>\n" );
document.write( "Then the 26-inch distance across the square consists of one side of the octagon, plus the legs of two of the triangles.<br><BR>\n" );
document.write( "In a 45-45-90 right triangle, each leg is (1/sqrt(2)) times the length of the hypotenuse.  So if x is the length of a side of the octagon, the 26-inch side of the octagon is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2Fsqrt%282%29%29%2Ax%29+%2B+%28x%29+%2B+%28%281%2Fsqrt%282%29%29%2Ax%29 ALIGN=MIDDLE  ALT=\"%28%281%2Fsqrt%282%29%29%2Ax%29+%2B+%28x%29+%2B+%28%281%2Fsqrt%282%29%29%2Ax%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%281%2Bsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"x%281%2Bsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then the side length of the octagon is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F%28%281%2Bsqrt%282%29%29%29 ALIGN=MIDDLE  ALT=\"26%2F%28%281%2Bsqrt%282%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "which to the nearest hundredth of an inch is 10.77 inches. </SPAN>\n" );
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