document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=906605>Question 906605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a 45-45-90 triangle measures 14 feet. \r<BR>\n" );
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document.write( "Part a: Determine the length of a leg of the triangle.<BR>\n" );
document.write( "Part b: Determine the perimeter of the triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549984 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=549984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let's hypotenuse be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "let's legs be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=14ft ALIGN=MIDDLE  ALT=\"c=14ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since you have 45-45-90 triangle means legs are same length: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b ALIGN=MIDDLE  ALT=\"a=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "by Pythagorean theorem <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b ALIGN=MIDDLE  ALT=\"a=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=14+feet ALIGN=MIDDLE  ALT=\"c=14+feet\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%5E2=b%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"14%5E2=b%5E2%2Bb%5E2\"   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=14%5E2=2b%5E2 ALIGN=MIDDLE  ALT=\"14%5E2=2b%5E2\"   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=14%2A14%2F2=b%5E2 ALIGN=MIDDLE  ALT=\"14%2A14%2F2=b%5E2\"   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=14%2A7=b%5E2 ALIGN=MIDDLE  ALT=\"14%2A7=b%5E2\"   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=98=b%5E2 ALIGN=MIDDLE  ALT=\"98=b%5E2\"   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=sqrt%2898%29=b ALIGN=MIDDLE  ALT=\"sqrt%2898%29=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2849%2A2%29=b ALIGN=MIDDLE  ALT=\"sqrt%2849%2A2%29=b\"   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=7sqrt%282%29ft=b ALIGN=MIDDLE  ALT=\"7sqrt%282%29ft=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7sqrt%282%29ft=a ALIGN=MIDDLE  ALT=\"7sqrt%282%29ft=a\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........the length of a leg of the triangle\r<BR>\n" );
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document.write( "Part b:\r<BR>\n" );
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document.write( "the perimeter of the triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=a%2Bb%2Bc ALIGN=MIDDLE  ALT=\"P=a%2Bb%2Bc\"   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=P=7sqrt%282%29ft%2B7sqrt%282%29ft%2B14ft ALIGN=MIDDLE  ALT=\"P=7sqrt%282%29ft%2B7sqrt%282%29ft%2B14ft\"   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=P=14sqrt%282%29ft%2B14ft ALIGN=MIDDLE  ALT=\"P=14sqrt%282%29ft%2B14ft\"   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=P=14%28sqrt%282%29%2B1%29ft ALIGN=MIDDLE  ALT=\"P=14%28sqrt%282%29%2B1%29ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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