document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=740599>Question 740599</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm trying to find the length of a leg on a right triangle. One leg is 52 and the hypotenuse is 63. how do you solve it by using the Pythagorean theorem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451632 by </B><A HREF=/tutors/aboutme.mpl?userid=ohtheirony><B>ohtheirony(35)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ohtheirony><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=ohtheirony><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=451632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Pythagorean theorem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where c is the hypotenuse and a and b are the two legs of the right triangle. We can subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides of the equation, so our new equation will become <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=c%5E2-a%5E2 ALIGN=MIDDLE  ALT=\"b%5E2=c%5E2-a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. If we put in the hypotenuse (c) and one of our triangle legs (a), then we can solve our equation. <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=63%5E2-52%5E2 ALIGN=MIDDLE  ALT=\"b%5E2=63%5E2-52%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=3969-2704 ALIGN=MIDDLE  ALT=\"b%5E2=3969-2704\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=1265 ALIGN=MIDDLE  ALT=\"b%5E2=1265\"   DISABLED_style= \"max-width:90%; height:auto;\" > <br><BR>\n" );
document.write( "To get rid of a square, we find the square root. So, to find b, take the square root of each side of the equation. <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28b%5E2%29=sqrt%281265%29 ALIGN=MIDDLE  ALT=\"sqrt%28b%5E2%29=sqrt%281265%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=35.5668384876 ALIGN=MIDDLE  ALT=\"b=35.5668384876\"   DISABLED_style= \"max-width:90%; height:auto;\" > <br><BR>\n" );
document.write( "The leg will be about 35.5 units. <br>\r<BR>\n" );
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document.write( "For more on the Pythagorean theorem, click here:<a  rel=nofollow HREF=\"http://www.mathsisfun.com/pythagoras.html\">http://www.mathsisfun.com/pythagoras.html</a> </SPAN>\n" );
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