document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=424445>Question 424445</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the base of a triangle is 7cm greater than the height. the area is 22cm^2. find the height and length of the base.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295884 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=295884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the base of a triangle is 7cm greater than the height. the area is 22cm^2. find the height and length of the base. <BR>\n" );
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document.write( "Since<BR>\n" );
document.write( "area of any triangle is (1/2)bh<BR>\n" );
document.write( "where<BR>\n" );
document.write( "b is base<BR>\n" );
document.write( "h is height<BR>\n" );
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document.write( "Let h = height<BR>\n" );
document.write( "then<BR>\n" );
document.write( "h+7 = base<BR>\n" );
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document.write( "22 = (1/2)(h+7)h<BR>\n" );
document.write( "44 = (h+7)h<BR>\n" );
document.write( "44 = h^2 + 7h<BR>\n" );
document.write( "0 = h^2 + 7h - 44<BR>\n" );
document.write( "0 = (h+11)(h-4)<BR>\n" );
document.write( "h = {-11, 4}<BR>\n" );
document.write( "we can throw out the negative solution leaving:<BR>\n" );
document.write( "h = 4 cm (height)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "base:<BR>\n" );
document.write( "h+7 = 4+7 = 11 cm<BR>\n" );
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