document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148864>Question 1148864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One square is placed on top of another so that a regular octagon is formed, along with eight isosceles triangles each with its hypotenuse on a side of the octagon. If the perimeter of the octagon is 20cm, find the perimeter of the star, in cm. \r<BR>\n" );
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document.write( "Diagram: https://imgur.com/a/C5NSnNK </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770215 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=770215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One square is placed on top of another so that a regular octagon is formed, along with eight isosceles triangles each with its hypotenuse on a side of the octagon. If the perimeter of the octagon is 20cm, find the perimeter of the star, in cm.<BR>\n" );
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document.write( "Find the length of each side (c) of the octagon<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F8 ALIGN=MIDDLE  ALT=\"20%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 2.5 cm, is the hypotenuse of the 8 triangles<BR>\n" );
document.write( "Find the length of the sides (a) of the 8 triangles <BR>\n" );
document.write( "2a^2 = 2.5^2<BR>\n" );
document.write( "2a^2 = 6.25<BR>\n" );
document.write( "a^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.25%2F2 ALIGN=MIDDLE  ALT=\"6.25%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286.25%2F2%29 ALIGN=MIDDLE  ALT=\"sqrt%286.25%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the 16 sides of the star<BR>\n" );
document.write( "perimeter = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Asqrt%286.25%2F2%29 ALIGN=MIDDLE  ALT=\"16%2Asqrt%286.25%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 28.284 cm<BR>\n" );
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