document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=423229>Question 423229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one leg of a right triangle is twice as long as the other leg. the length of the hypotenuse is 20 squared. what is the length of each leg </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295262 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=295262\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume the legs are a, b, and c.<BR>\n" );
document.write( "c = the hypotenuse.<BR>\n" );
document.write( "c = 20^2 <BR>\n" );
document.write( "c = 400<BR>\n" );
document.write( ".<BR>\n" );
document.write( "One leg is twice as long as the other.<BR>\n" );
document.write( "a = 2b<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The Pythagorean Theorem teaches us:<BR>\n" );
document.write( "c^2 = a^2 + b^2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Substituting what we know...<BR>\n" );
document.write( "400^2 = (2b)^2 + b^2<BR>\n" );
document.write( "160000 = 4b^2 + b^2<BR>\n" );
document.write( "160000 = 5b^2<BR>\n" );
document.write( "Divide both side by 5.<BR>\n" );
document.write( "32000 = b^2<BR>\n" );
document.write( "Take the square root of both sides.<BR>\n" );
document.write( "sqrt(32000) = b<BR>\n" );
document.write( ".<BR>\n" );
document.write( "sqrt(32 000) = 178.885438<BR>\n" );
document.write( "so<BR>\n" );
document.write( "b = 178.885438<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Looking back, we see that<BR>\n" );
document.write( "a = 2b<BR>\n" );
document.write( "so<BR>\n" );
document.write( "a = 2 * 178.885438 <BR>\n" );
document.write( "a = 357.770876<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Always check your answer.<BR>\n" );
document.write( "In this case you do so by checking to see if c^2 = a^2 + b^2.<BR>\n" );
document.write( "Is this equation true?<BR>\n" );
document.write( "a^2 = 128,000<BR>\n" );
document.write( "b^2 = 32,000<BR>\n" );
document.write( "a^2 + b^2 = 160,000<BR>\n" );
document.write( "That checks.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Remember to state the answer clearly.<BR>\n" );
document.write( "The legs of the right triangle are 178.885438 and 357.770876.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );