document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=393656>Question 393656</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 60cm piece of wire is bent to form a right triangle. If the hypotenuse is 25cm, find the length of the longer of the two legs of the right triangle. (Show your solution) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279342 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A 60cm piece of wire is bent to form a right triangle. If the hypotenuse is 25cm, find the length of the longer of the two legs of the right triangle. (Show your solution)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "perimeter = 60 cm<BR>\n" );
document.write( "hypotenuse = 25<BR>\n" );
document.write( "one leg = x<BR>\n" );
document.write( "other leg = 60-(x+25)<BR>\n" );
document.write( "=40+x<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Pythagoras theorem<BR>\n" );
document.write( "(35-x)^2+x^2=25^2<BR>\n" );
document.write( "1225-70x+x^2+x^2=625<BR>\n" );
document.write( "2x^2-70x+600=0<BR>\n" );
document.write( "/2<BR>\n" );
document.write( "x^2-35x+300=0<BR>\n" );
document.write( "x^2-20x-15x+300=0<BR>\n" );
document.write( "x(x-20)-15(x-20)=0<BR>\n" );
document.write( "(x-20)(x-15)=0<BR>\n" );
document.write( "x= 20 x=15<BR>\n" );
document.write( "the longer leg = 20 cm<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );