document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=807423>Question 807423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If two sides of right triangle are 5x and 3x-1. And area of triangle is 60 cm2 then find the hypotenuse 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 #486296 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</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=486296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One of the sides serves as a base and the other side serves as a height.\r<BR>\n" );
document.write( "\n" );
document.write( "Area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29b%2Ay ALIGN=MIDDLE  ALT=\"%281%2F2%29b%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where b is base, y is height.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%285x%29%283x-1%29=60 ALIGN=MIDDLE  ALT=\"%281%2F2%29%285x%29%283x-1%29=60\"   DISABLED_style= \"max-width:90%; height:auto;\" > using what was given.<BR>\n" );
document.write( "b=5x and y=3x-1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%283x-1%29=120 ALIGN=MIDDLE  ALT=\"5x%283x-1%29=120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%5E2-5x=120 ALIGN=MIDDLE  ALT=\"15x%5E2-5x=120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-x=24 ALIGN=MIDDLE  ALT=\"3x%5E2-x=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-x-24=0 ALIGN=MIDDLE  ALT=\"3x%5E2-x-24=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > FACTORABLE!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B8%29%28x-3%29=0 ALIGN=MIDDLE  ALT=\"%283x%2B8%29%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The positive x value has meaning here.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=3%29 ALIGN=MIDDLE  ALT=\"highlight%28x=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The triangle legs are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=5%2A3=15 ALIGN=MIDDLE  ALT=\"5x=5%2A3=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-1=3%2A3-1=8 ALIGN=MIDDLE  ALT=\"3x-1=3%2A3-1=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Pythagorean Theorem gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2=15%5E2%2B8%5E2 ALIGN=MIDDLE  ALT=\"h%5E2=15%5E2%2B8%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2=289 ALIGN=MIDDLE  ALT=\"h%5E2=289\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h=17%29 ALIGN=MIDDLE  ALT=\"highlight%28h=17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "Knowing the squares of the lowest few prime numbers is a good idea.<BR>\n" );
document.write( "11^2=121; 13^2=169; for 17 obviously; 19^2=361.<BR>\n" );
document.write( "You'll find that your common divisibility rules give you nothing for 289, so suspect some lower prime number as a possible factor. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );