document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935304>Question 935304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given a right angled triangle, the hypotenuse is 70 and the sides have a ratio of 16 to 9, what are the lengths of the sides, please show the solution steps, so I can do the steps for other hypotenuse lengths. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568479 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=568479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the sides <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;\" >, where<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2Fb+=+16%2F9+ ALIGN=MIDDLE  ALT=\"+a%2Fb+=+16%2F9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "By the pythagorean theorem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+70%5E2+=+a%5E2+%2B+b%5E2+ ALIGN=MIDDLE  ALT=\"+70%5E2+=+a%5E2+%2B+b%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4900+=+a%5E2+%2B+b%5E2+ ALIGN=MIDDLE  ALT=\"+4900+=+a%5E2+%2B+b%5E2+\"   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=+a%2Fb+=+16%2F9+ ALIGN=MIDDLE  ALT=\"+a%2Fb+=+16%2F9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9b+ ALIGN=MIDDLE  ALT=\"+9b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9a+=+16b+ ALIGN=MIDDLE  ALT=\"+9a+=+16b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%28+16%2F9+%29%2Ab+ ALIGN=MIDDLE  ALT=\"+a+=+%28+16%2F9+%29%2Ab+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "By substitution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4900+=+%28+16%5E2+%2F+9%5E2+%29%2Ab%5E2++%2B+b%5E2+ ALIGN=MIDDLE  ALT=\"+4900+=+%28+16%5E2+%2F+9%5E2+%29%2Ab%5E2++%2B+b%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4900+=+%28+256+%2F+81+%29%2Ab%5E2+%2B+%28+81%2F81+%29%2Ab%5E2+ ALIGN=MIDDLE  ALT=\"+4900+=+%28+256+%2F+81+%29%2Ab%5E2+%2B+%28+81%2F81+%29%2Ab%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4900+=+%28+337%2F81+%29%2Ab%5E2+ ALIGN=MIDDLE  ALT=\"+4900+=+%28+337%2F81+%29%2Ab%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2+=+%28+81%2F337+%29%2A4900+ ALIGN=MIDDLE  ALT=\"+b%5E2+=+%28+81%2F337+%29%2A4900+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%28+9%2A70+%29+%2F+sqrt%28337%29++ ALIGN=MIDDLE  ALT=\"+b+=+%28+9%2A70+%29+%2F+sqrt%28337%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+630+%2F+18.358+ ALIGN=MIDDLE  ALT=\"+b+=+630+%2F+18.358+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+34.32+ ALIGN=MIDDLE  ALT=\"+b+=+34.32+\"   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=+a%2Fb+=+16%2F9+ ALIGN=MIDDLE  ALT=\"+a%2Fb+=+16%2F9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%28+16%2F9+%29%2Ab+ ALIGN=MIDDLE  ALT=\"+a+=+%28+16%2F9+%29%2Ab+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%28+16%2F9+%29%2A34.32+ ALIGN=MIDDLE  ALT=\"+b+=+%28+16%2F9+%29%2A34.32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+61.01+ ALIGN=MIDDLE  ALT=\"+b+=+61.01+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "check answers:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4900+=+a%5E2+%2B+b%5E2+ ALIGN=MIDDLE  ALT=\"+4900+=+a%5E2+%2B+b%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4900+=+61.01%5E2+%2B+34.32%5E2+ ALIGN=MIDDLE  ALT=\"+4900+=+61.01%5E2+%2B+34.32%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4900+=+3722.63+%2B+1177.86+ ALIGN=MIDDLE  ALT=\"+4900+=+3722.63+%2B+1177.86+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4900+=+4900.49+ ALIGN=MIDDLE  ALT=\"+4900+=+4900.49+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Error due to rounding off, I think\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );