document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=881184>Question 881184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenus of a right angled triangle is 41mm and the perimeter is 90mm.calculate the lengths of the other two sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #532049 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=532049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse is the longer side of a right triangle.<BR>\n" );
document.write( "The other two sides of a right triangle are called legs.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of one of the legs, in mm.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of the other leg, in mm.<BR>\n" );
document.write( " <BR>\n" );
document.write( "The perimeter is 90mm gives us the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2B41=90 ALIGN=MIDDLE  ALT=\"x%2By%2B41=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=90-41 ALIGN=MIDDLE  ALT=\"x%2By=90-41\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=49 ALIGN=MIDDLE  ALT=\"x%2By=49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=49-x ALIGN=MIDDLE  ALT=\"y=49-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "The Pythagorean theorem, applied to this particular triangle, tells us that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=41%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=41%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=1681 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=1681\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=49-x%2Cx%5E2%2By%5E2=1681%29 ALIGN=MIDDLE  ALT=\"system%28y=49-x%2Cx%5E2%2By%5E2=1681%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=49-x%2Cx%5E2%2B%2849-x%29%5E2=1681%29 ALIGN=MIDDLE  ALT=\"system%28y=49-x%2Cx%5E2%2B%2849-x%29%5E2=1681%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=49-x%2Cx%5E2%2B2401-98x%2Bx%5E2=1681%29 ALIGN=MIDDLE  ALT=\"system%28y=49-x%2Cx%5E2%2B2401-98x%2Bx%5E2=1681%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=49-x%2C2x%5E2-98x%2B720=0%29 ALIGN=MIDDLE  ALT=\"system%28y=49-x%2C2x%5E2-98x%2B720=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=49-x%2Cx%5E2-49x%2B360=0%29 ALIGN=MIDDLE  ALT=\"system%28y=49-x%2Cx%5E2-49x%2B360=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-49x%2B360=0 ALIGN=MIDDLE  ALT=\"x%5E2-49x%2B360=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-40%29%28x-9%29=0 ALIGN=MIDDLE  ALT=\"%28x-40%29%28x-9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=40%2C%22or%22%2Cx=9%29 ALIGN=MIDDLE  ALT=\"system%28x=40%2C%22or%22%2Cx=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and those are the lengths (in mm) of the legs of the right triangle, because<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=49-x%2Cx=40%29 ALIGN=MIDDLE  ALT=\"system%28y=49-x%2Cx=40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=9%2Cx=40%29 ALIGN=MIDDLE  ALT=\"system%28y=9%2Cx=40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=49-x%2Cx=9%29 ALIGN=MIDDLE  ALT=\"system%28y=49-x%2Cx=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=40%2Cx=9%29 ALIGN=MIDDLE  ALT=\"system%28y=40%2Cx=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Either way, lengths of the other two sides of the right triangle are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2840mm%29 ALIGN=MIDDLE  ALT=\"highlight%2840mm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%289mm%29 ALIGN=MIDDLE  ALT=\"highlight%289mm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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