document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=363186>Question 363186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle has a leg of 12 m and a hypotenuse of 13 m. Find the length of the other leg.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258936 by </B><A HREF=/tutors/aboutme.mpl?userid=Mr.positive><B>Mr.positive(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mr.positive><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=Mr.positive><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=258936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A triangle has a leg of 12 m and a hypotenuse of 13 m. <BR>\n" );
document.write( "Find the length of the other leg.\r<BR>\n" );
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document.write( "Since the problem mentions a hypotenuse, we are working<BR>\n" );
document.write( "with a right triangle.  We will apply the Pythagorean Theorem <BR>\n" );
document.write( "in order to solve this problem.  Draw and label the right triangle’s <BR>\n" );
document.write( "legs with “a” and “b” respectively.  Label the longest side ( the hypotenuse), <BR>\n" );
document.write( "the side opposite the right angle with “c”.  The Pythagorean Theorem <BR>\n" );
document.write( "tells us that    a ² + b ² = c ².  <BR>\n" );
document.write( "Let a=12 meters and c = 13 meters.<BR>\n" );
document.write( "We will substitute the “a” and the “c” into the Pythagorean Theorem<BR>\n" );
document.write( "and we will solve for b. <BR>\n" );
document.write( "                    			 a ² + b ² = c ²<BR>\n" );
document.write( " replace “a” and “c”          	12² + b² = 13²<BR>\n" );
document.write( " square the 12 and the 13  	144 + b² = 169<BR>\n" );
document.write( "	        				144 + b² = 169<BR>\n" );
document.write( "   solve for “b²” subtraction                	-144 =     -144<BR>\n" );
document.write( "						   b² = 25\r<BR>\n" );
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document.write( "  Solve for b by taking the square root on each side.<BR>\n" );
document.write( "		b = 5     or     b = -5<BR>\n" );
document.write( "Since we are talking about length, b=-5 is excluded.<BR>\n" );
document.write( "The length of the second leg is 5 meters!\r<BR>\n" );
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document.write( "mathteacher2010@aol.com<BR>\n" );
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