document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948721>Question 948721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The long side of a right triangle is 5.0 m long. if the hypotenuse is three times the length of the short side, find the short side and the hypotenuse of a right triangle. set up and solve a quadratic equation using the Pythagorean formula.\r<BR>\n" );
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document.write( "so this what i tried to solve\r<BR>\n" );
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document.write( "Pythagorean formula: a^2+b^=c^\r<BR>\n" );
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document.write( "I do not know the short side so i used x and 3x for hyp. <BR>\n" );
document.write( "Then solve as <BR>\n" );
document.write( "(x)^2+(5.0)^2=(3x)^2<BR>\n" );
document.write( " x^2+25=9x^2\r<BR>\n" );
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document.write( "Now i do not know how to finish solving the equation.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579089 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=579089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, short side<BR>\n" );
document.write( "y, long side<BR>\n" );
document.write( "h, hypotenuse<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5.0 ALIGN=MIDDLE  ALT=\"y=5.0\"   DISABLED_style= \"max-width:90%; height:auto;\" >; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=3x ALIGN=MIDDLE  ALT=\"h=3x\"   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=x%5E2%2By%5E2=h%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Pythagorean Theorem.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=%283x%29%5E2-y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2=%283x%29%5E2-y%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=9x%5E2-y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2=9x%5E2-y%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%5E2-9x%5E2=-y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-9x%5E2=-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2-x%5E2=y%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2-x%5E2=y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2=y%5E2 ALIGN=MIDDLE  ALT=\"8x%5E2=y%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=%281%2F8%29y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2=%281%2F8%29y%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=sqrt%28y%5E2%2F8%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28y%5E2%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substitute the value for y from given.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%28%285%5E2%29%2F8%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28%285%5E2%29%2F8%29\"   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=x=5sqrt%281%2F8%29 ALIGN=MIDDLE  ALT=\"x=5sqrt%281%2F8%29\"   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=x=%285%2F4%29sqrt%281%2F2%29 ALIGN=MIDDLE  ALT=\"x=%285%2F4%29sqrt%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F4%29%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"%285%2F4%29%2Fsqrt%282%29\"   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=%28%285%2F4%29%2Fsqrt%282%29%29%28sqrt%282%29%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%28%285%2F4%29%2Fsqrt%282%29%29%28sqrt%282%29%2Fsqrt%282%29%29\"   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=%285%2Asqrt%282%29%29%2F%284%2A2%29 ALIGN=MIDDLE  ALT=\"%285%2Asqrt%282%29%29%2F%284%2A2%29\"   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=highlight%28x=%285%2F8%29sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%285%2F8%29sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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