document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086275>Question 1086275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a triangle rectangle is 19.5 ft long.\r<BR>\n" );
document.write( "\n" );
document.write( "If the length of each leg increased 4.5 ft, the hypotenuse would increase by 6 ft.\r<BR>\n" );
document.write( "\n" );
document.write( "Calculate both leg lengths of the first triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700458 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=700458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "a triangle rectangle : I guess you have  rectangle divided into two triangle\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "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;\" >, and legs <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" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since your triangle is  right angle triangle, we have\r<BR>\n" );
document.write( "\n" );
document.write( " <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" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19.5+%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"19.5+%5E2=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=380.25=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"380.25=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....solve for <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" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=380.25-a%5E2 ALIGN=MIDDLE  ALT=\"b%5E2=380.25-a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%28380.25-a%5E2%29 ALIGN=MIDDLE  ALT=\"b=sqrt%28380.25-a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.1\r<BR>\n" );
document.write( "\n" );
document.write( "If the length of each leg increased 4.5 ft, the hypotenuse would increase by 6 ft.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2819.5%2B6%29+%5E2=%28a%2B4.5%29%5E2%2B%28b%2B4.5%29%5E2 ALIGN=MIDDLE  ALT=\"%2819.5%2B6%29+%5E2=%28a%2B4.5%29%5E2%2B%28b%2B4.5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825.5%29+%5E2=+a%5E2%2B9a%2B20.25%2Bb%5E2%2B9b%2B20.25 ALIGN=MIDDLE  ALT=\"%2825.5%29+%5E2=+a%5E2%2B9a%2B20.25%2Bb%5E2%2B9b%2B20.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=650.25=+a%5E2%2B9a%2Bb%5E2%2B9b%2B40.5 ALIGN=MIDDLE  ALT=\"650.25=+a%5E2%2B9a%2Bb%5E2%2B9b%2B40.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=650.25-40.5=+a%5E2%2B9a%2Bb%5E2%2B9b ALIGN=MIDDLE  ALT=\"650.25-40.5=+a%5E2%2B9a%2Bb%5E2%2B9b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=609.75=+a%5E2%2B9a%2Bb%5E2%2B9b ALIGN=MIDDLE  ALT=\"609.75=+a%5E2%2B9a%2Bb%5E2%2B9b\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......substitute <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" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=609.75=+a%5E2%2B9a%2B%28sqrt%28380.25-a%5E2%29%29%5E2%2B9%2Asqrt%28380.25-a%5E2%29 ALIGN=MIDDLE  ALT=\"609.75=+a%5E2%2B9a%2B%28sqrt%28380.25-a%5E2%29%29%5E2%2B9%2Asqrt%28380.25-a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=609.75=+a%5E2%2B9a%2B380.25-a%5E2%2B9%2Asqrt%28380.25-a%5E2%29 ALIGN=MIDDLE  ALT=\"609.75=+a%5E2%2B9a%2B380.25-a%5E2%2B9%2Asqrt%28380.25-a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=609.75=+9a%2B380.25%2B9%2Asqrt%28380.25-a%5E2%29 ALIGN=MIDDLE  ALT=\"609.75=+9a%2B380.25%2B9%2Asqrt%28380.25-a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=609.75-380.25=+9a%2B9%2Asqrt%28380.25-a%5E2%29 ALIGN=MIDDLE  ALT=\"609.75-380.25=+9a%2B9%2Asqrt%28380.25-a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=229.5=+9%28a%2Bsqrt%28380.25-a%5E2%29%29 ALIGN=MIDDLE  ALT=\"229.5=+9%28a%2Bsqrt%28380.25-a%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=229.5%2F9=+a%2Bsqrt%28380.25-a%5E2%29 ALIGN=MIDDLE  ALT=\"229.5%2F9=+a%2Bsqrt%28380.25-a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25.5-a=sqrt%28380.25-a%5E2%29 ALIGN=MIDDLE  ALT=\"25.5-a=sqrt%28380.25-a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....square both sides\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825.5-a%29%5E2=%28sqrt%28380.25-a%5E2%29%29%5E2 ALIGN=MIDDLE  ALT=\"%2825.5-a%29%5E2=%28sqrt%28380.25-a%5E2%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=650.25-51a%2Ba%5E2=380.25-a%5E2%29 ALIGN=MIDDLE  ALT=\"650.25-51a%2Ba%5E2=380.25-a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Ba%5E2-51a%2B650.25-380.25=0 ALIGN=MIDDLE  ALT=\"a%5E2%2Ba%5E2-51a%2B650.25-380.25=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%5E2-51a%2B270=0 ALIGN=MIDDLE  ALT=\"2a%5E2-51a%2B270=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+-+18%29+%282+a+-+15%29+=+0 ALIGN=MIDDLE  ALT=\"%28a+-+18%29+%282+a+-+15%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+-+18%29+=+0 ALIGN=MIDDLE  ALT=\"%28a+-+18%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=18ft ALIGN=MIDDLE  ALT=\"a=18ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282+a+-+15%29+=+0 ALIGN=MIDDLE  ALT=\"+%282+a+-+15%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=7.5ft ALIGN=MIDDLE  ALT=\"a=7.5ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "now find <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" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%28380.25-a%5E2%29 ALIGN=MIDDLE  ALT=\"b=sqrt%28380.25-a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.1=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=18 ALIGN=MIDDLE  ALT=\"a=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%28380.25-18%5E2%29 ALIGN=MIDDLE  ALT=\"b=sqrt%28380.25-18%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%28380.25-324%29 ALIGN=MIDDLE  ALT=\"b=sqrt%28380.25-324%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=7.5ft ALIGN=MIDDLE  ALT=\"b=7.5ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%28380.25-a%5E2%29 ALIGN=MIDDLE  ALT=\"b=sqrt%28380.25-a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.1=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=7.5 ALIGN=MIDDLE  ALT=\"a=7.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%28380.25-7.5%5E2%29 ALIGN=MIDDLE  ALT=\"b=sqrt%28380.25-7.5%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%28324%29 ALIGN=MIDDLE  ALT=\"b=sqrt%28324%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=18ft ALIGN=MIDDLE  ALT=\"b=18ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, you can choose <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=18 ALIGN=MIDDLE  ALT=\"a=18\"   DISABLED_style= \"max-width:90%; height:auto;\" > and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=7.5ft ALIGN=MIDDLE  ALT=\"b=7.5ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > or vice versa\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );