document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186297>Question 1186297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Carrie works dues south of her apartment. Her friend Sarah works due east of the apartment. They leave for work at the same time. By the time Carrie is 5 miles form their apartment, the distance between them is 1 mile more than Sarah’s distance from the apartment. How far from the apartment is Sarah? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817193 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The figure that can be drawn to display the given information is a right triangle with one leg 5 and hypotenuse 1 more than the other leg.<br><BR>\n" );
document.write( "Many students will immediately recognize a 5-12-13 right triangle, giving...<br><BR>\n" );
document.write( "ANSWER: Sarah is 12 miles from their apartment.<br><BR>\n" );
document.write( "Using formal algebra and the Pythagorean Theorem...<br><BR>\n" );
document.write( "5^2+x^2 = (x+1)^2<BR>\n" );
document.write( "x^2+25 = x^2+2x+1<BR>\n" );
document.write( "25 = 2x+1<BR>\n" );
document.write( "2x = 24<BR>\n" );
document.write( "x = 12<br><BR>\n" );
document.write( "ANSWER: 12<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );