document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163559>Question 163559</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 25 m long. The length of one leg is 10 m less than twice the other. Find the length of each leg. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120494 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=120494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (2x-10)^2+x^2=25^2<BR>\n" );
document.write( "4x^2-40x+100+x^2=625<BR>\n" );
document.write( "5x^2-40x+100-625=0<BR>\n" );
document.write( "5x^2-40x-525=0<BR>\n" );
document.write( "5(x^2-8x-105)=0<BR>\n" );
document.write( "5(x-15)(x+7)=0<BR>\n" );
document.write( "x-15=0<BR>\n" );
document.write( "x=15 for the short side.<BR>\n" );
document.write( "2*15-10<BR>\n" );
document.write( "30-10=20 for the long side.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "15^2+20^2=25^2<BR>\n" );
document.write( "225+400=625<BR>\n" );
document.write( "625=625\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );