document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=354679>Question 354679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the lengths of one side of a right triangle and teh hypotenuse is 32 centimeters. The other leg is 1 centimeter shorter than the hypotenuse. Find the length of each side of the triangle. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253393 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=253393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "let x be the length of the hypotenuse.<BR>\n" );
document.write( "then the sides are (32 - x) and (x-1)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Applying the  Pythagorean Theorem*<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > where c is the hypotenuse<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2832-x%29%5E2+%2B+%28x%2B1%29%5E2+=+x%5E2 ALIGN=MIDDLE  ALT=\"%2832-x%29%5E2+%2B+%28x%2B1%29%5E2+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "grinding out and simplifying, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+66x+%2B+1025+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+66x+%2B+1025+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Using the quadratic formula <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we get<BR>\n" );
document.write( "x = 41 Cannot use<BR>\n" );
document.write( "or x = 25<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Sides are 7 and 24<BR>\n" );
document.write( ".<BR>\n" );
document.write( "check yur answer<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E2+%2B+24%5E2+=+25%5E2 ALIGN=MIDDLE  ALT=\"7%5E2+%2B+24%5E2+=+25%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );