document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923844>Question 923844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a right-angled triangle has an area of 20cm^2. <BR>\n" );
document.write( "The width of the triangle is n+5cm.<BR>\n" );
document.write( "The height is 6cm less than the width.<BR>\n" );
document.write( "FInd the value of n </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560380 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=560380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A right angled triangle.<BR>\n" );
document.write( "Width = (n + 5)<BR>\n" );
document.write( "Height = (n + 5) - 6<BR>\n" );
document.write( "Height = (n - 1)<BR>\n" );
document.write( "Area of a triangle = 1/2 (base x height)<BR>\n" );
document.write( "20 = 1/2(n - 1)x(n + 5)<BR>\n" );
document.write( "40 = n^2 + 4n - 5<BR>\n" );
document.write( "n^2 + 4n - 45 = 0<BR>\n" );
document.write( "(n - 5)(n + 9) = 0<BR>\n" );
document.write( "n + 9 = 0<BR>\n" );
document.write( "n = -9 (no answer, as negative value)<BR>\n" );
document.write( "n - 5 = 0<BR>\n" );
document.write( "n = 5<BR>\n" );
document.write( "This would make the width = 10 cm<BR>\n" );
document.write( "and the height = 4 cm<BR>\n" );
document.write( "Area = 1/2(10 x 4) = 20 cm^2\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );