document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37872>Question 37872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with a homework problem i am having problems with. <BR>\n" );
document.write( "The hypotenuse of a right triangle is 2.8 units long. The longer leg is 1.3 units longer than the shorter leg. Find the lengths of the sides 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 #23392 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the shorter leg, x.<BR>\n" );
document.write( "The longer leg is then x + 1.3.<BR>\n" );
document.write( "The Pythagorean Theorem is<BR>\n" );
document.write( "a^2 + b^2 = c^2<BR>\n" );
document.write( "Now plug in<BR>\n" );
document.write( "x^2 + (x + 1.3)^2 = 2.8^2<BR>\n" );
document.write( "x^2 + x^2 + 2.6x + 1.69 = 7.84<BR>\n" );
document.write( "2x^2 + 2.6x - 6.15 = 0<BR>\n" );
document.write( "Since this doesn't factor, you'll have to use the quadriatic formula now, which yields (see if you get this)<BR>\n" );
document.write( "x = 1.22 or x = -2.52<BR>\n" );
document.write( "but since distance can't be negative, only x = 1.22 works. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );