document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107052>Question 107052</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the minute hand of a clock is 3 cm longer then the hour hand. if the distance between the tips of the hands at nine o'clock is 15 cm, how long is the minute hand (hint: draw a diagram) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77865 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The hands form a right triangle with hypotenuse=15<BR>\n" );
document.write( "Let x=length of hr hand, x+3=minute hand length<BR>\n" );
document.write( "x^2+(x+3)^2=15^2<BR>\n" );
document.write( "x^2+x^2+6x+9=225<BR>\n" );
document.write( "2x^2+6x+9-225=0<BR>\n" );
document.write( "2x^2+6x-216=0<BR>\n" );
document.write( "2(x^2+3x-108)=0<BR>\n" );
document.write( "2(x+12)(x-9)=0<BR>\n" );
document.write( "x=-12 can't be an answer (negative)<BR>\n" );
document.write( "x=9 cm<BR>\n" );
document.write( "x+3=12 cm length of minute hand. Answer.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "9^2+12^2=15^2<BR>\n" );
document.write( "81+144=225 True<BR>\n" );
document.write( "Ed\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );