document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=225397>Question 225397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a right triangle is 42 square meters. If one leg is 5 meters longer than the other, what are the lengths of the two legs? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168180 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=168180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let  a,,&  b,,,be  legs  of  rt  triangle  with ,,,,a=b+5<BR>\n" );
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document.write( "Area  =  1/2 *base* height <BR>\n" );
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document.write( "A= 1/2 *a *b,,,,,subst<BR>\n" );
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document.write( "A= 1/2 *(b+5) * b<BR>\n" );
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document.write( "A = 1/2 (b^2 +5b)<BR>\n" );
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document.write( "A=42 = 1/2 (b^2 +5b)<BR>\n" );
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document.write( "84 = b^2 +5b<BR>\n" );
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document.write( "0= b^2 +5b -84,,,,,,,,factor<BR>\n" );
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document.write( "0= (b-7)(b+12)<BR>\n" );
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document.write( "b= 7,  -12 (not  realistic)<BR>\n" );
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document.write( "Answer  is  a=b+5= 7+5=12 m ,,,,,,b= 7m<BR>\n" );
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document.write( "check,,,,42 = 1/2 *7 *12 = 42 m^2,,,,ok<BR>\n" );
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