document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205474>Question 205474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you need to construct a right triangle in which the shorter side is eight feet less than the longest side and the third side is seven feet more than the shortest side. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155111 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=155111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a^2+b^2=c^2<BR>\n" );
document.write( "a=c-8<BR>\n" );
document.write( "b=a+7 or b=(c-8)+7 or b=c-1<BR>\n" );
document.write( "(c-8)^2+(c-1)^2=c^2<BR>\n" );
document.write( "c^2-16c+64+c^2-2c+1=c^2<BR>\n" );
document.write( "2c^2-c^2-18c+65=0<BR>\n" );
document.write( "c^2-18c+65=0<BR>\n" );
document.write( "(c-13)(c-5)=0<BR>\n" );
document.write( "c-13=0 <BR>\n" );
document.write( "c=13 ans.<BR>\n" );
document.write( "a=13-8<BR>\n" );
document.write( "a=5 ans.<BR>\n" );
document.write( "b=5+7<BR>\n" );
document.write( "b=12 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "5^2+12*2=13^2<BR>\n" );
document.write( "25+141=169<BR>\n" );
document.write( "169=169<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );