document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216186>Question 216186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One leg of a right triangle is 7 cm longer than the other leg. The hypotenuse is 1 cm longer than the longer leg. Find the lengths of the three sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163487 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One leg of a right triangle is 7 cm longer than the other leg.<BR>\n" );
document.write( " The hypotenuse is 1 cm longer than the longer leg. Find the lengths of the three sides.<BR>\n" );
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document.write( "Using a^2 + b^2 = c^2<BR>\n" );
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document.write( "\"One leg of a right triangle is 7 cm longer than the other leg.\"<BR>\n" );
document.write( "a = b + 7<BR>\n" );
document.write( "b = a - 7, this form for substitution<BR>\n" );
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document.write( "\" The hypotenuse is 1 cm longer than the longer leg.\"<BR>\n" );
document.write( "c = a + 1<BR>\n" );
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document.write( " Find the lengths of the three sides.<BR>\n" );
document.write( "a^2 + b^2 = c^2<BR>\n" );
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document.write( "Substitute (a-7) for b and (a+1) for c<BR>\n" );
document.write( "a^2 + (a-7)^2 = (a+1)^2<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "a^2 + (a^2 - 14a + 49) = (a^2 + 2a + 1)<BR>\n" );
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document.write( "Group like terms on the left<BR>\n" );
document.write( "a^2 + a^2 - a^2 - 14a - 2a + 49 - 1 = 0<BR>\n" );
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document.write( "a^2 - 16a + 48 = 0<BR>\n" );
document.write( "Factor<BR>\n" );
document.write( "(a - 4)(a - 12) = 0<BR>\n" );
document.write( "two solutions<BR>\n" );
document.write( "a = 4<BR>\n" );
document.write( "a = 12; this is the solution because b = a - 7, (can't have a negative side)<BR>\n" );
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document.write( "b = 12 - 7<BR>\n" );
document.write( "b = 5<BR>\n" );
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document.write( "c = 12 + 1<BR>\n" );
document.write( "c = 13<BR>\n" );
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document.write( "Check solution<BR>\n" );
document.write( "12^2 + 5^2 = 13^2<BR>\n" );
document.write( "144 + 25 = 169<BR>\n" );
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