document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=833044>Question 833044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The longer leg of a right triangle is three inches more than three times the length of the shorter leg the area is 84 find the perimeter </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #502268 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=502268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The longer leg of a right triangle is three inches more than three times the length of the shorter leg the area is 84 find the perimeter<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "shorter: x<BR>\n" );
document.write( "longer: 3x + 3<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x(3x+3) = 84<BR>\n" );
document.write( "3x^2 + 9x - 84 = 0<BR>\n" );
document.write( "x^2 + 3x - 28 = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "(x+7)(x-4) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "3x+3 = 15<BR>\n" );
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document.write( "Hypotenuse = sqrt[4^2+15^2] = sqrt[16+225] = sqrt(241)<BR>\n" );
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document.write( "Perimeter = 4 + 15 + sqrt(241)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );