document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978669>Question 978669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> **1. If the short side of a 30-60-90 triangle is equal to 11, what is the length of the hypotenuse?\r<BR>\n" );
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document.write( "Answer choices;<BR>\n" );
document.write( "a) 11<BR>\n" );
document.write( "b) 22<BR>\n" );
document.write( "c) 11 square root of 2\r<BR>\n" );
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document.write( "***2. If the short side of a 30-60-90 triangle is equal to 11, what is the length of the long leg?\r<BR>\n" );
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document.write( "a) 11<BR>\n" );
document.write( "b) 22<BR>\n" );
document.write( "c) 11 square root of 3\r<BR>\n" );
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document.write( "Thank you in advance! <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 #600047 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=600047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "remember the ratio<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hypotenuse+%3A+long_+leg+%3A+short_+leg+=+2+%3A+sqrt%283%29+%3A+1 ALIGN=MIDDLE  ALT=\"hypotenuse+%3A+long_+leg+%3A+short_+leg+=+2+%3A+sqrt%283%29+%3A+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hypotenuse+%2F+2+=+long_+leg+%2F+sqrt%283%29+=+short+_leg+%2F+1 ALIGN=MIDDLE  ALT=\"hypotenuse+%2F+2+=+long_+leg+%2F+sqrt%283%29+=+short+_leg+%2F+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "also <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=long+_leg+=+%28sqrt%283%29%2A+hypotenuse%29+%2F+2 ALIGN=MIDDLE  ALT=\"long+_leg+=+%28sqrt%283%29%2A+hypotenuse%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=short+_leg+=+hypotenuse+%2F+2 ALIGN=MIDDLE  ALT=\"short+_leg+=+hypotenuse+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "1. If the short side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the length of the hypotenuse will be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=short+_leg+=+hypotenuse+%2F+2 ALIGN=MIDDLE  ALT=\"short+_leg+=+hypotenuse+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ashort+_leg+=+hypotenuse+ ALIGN=MIDDLE  ALT=\"2%2Ashort+_leg+=+hypotenuse+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A11+=+hypotenuse+ ALIGN=MIDDLE  ALT=\"2%2A11+=+hypotenuse+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22+=+hypotenuse+ ALIGN=MIDDLE  ALT=\"22+=+hypotenuse+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, answer choices is:\r<BR>\n" );
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document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22 ALIGN=MIDDLE  ALT=\"22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2. If the short side of a 30-60-90 triangle is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the length of the long leg will be\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=long+_leg+=+%28sqrt%283%29%2A+22%29+%2F+2 ALIGN=MIDDLE  ALT=\"long+_leg+=+%28sqrt%283%29%2A+22%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=long+_leg+=+sqrt%283%29%2A+11+ ALIGN=MIDDLE  ALT=\"long+_leg+=+sqrt%283%29%2A+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=long+_leg+=+11sqrt%283%29+ ALIGN=MIDDLE  ALT=\"long+_leg+=+11sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, answer is:<BR>\n" );
document.write( "c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11sqrt%283%29 ALIGN=MIDDLE  ALT=\"11sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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