document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=278163>Question 278163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangular piece of glass is being cut so that the height of the triangle is 4 inches shorter than twice the base. If the area of the triangle is 80 square inches, how long is the height of the triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202423 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=202423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Area=bh/2<BR>\n" );
document.write( "80=b(2b-4)/2<BR>\n" );
document.write( "80=(2b^2-4b)/2 cross multiply<BR>\n" );
document.write( "2b^2-4b=2*80<BR>\n" );
document.write( "2b^2-4b=160<BR>\n" );
document.write( "2b^2-4b-160=0<BR>\n" );
document.write( "2(b^2-2b-80)=0<BR>\n" );
document.write( "2(b-10)(b+8)=0<BR>\n" );
document.write( "b-10=0<BR>\n" );
document.write( "b=10 in.<BR>\n" );
document.write( "h=2*10-4<BR>\n" );
document.write( "h=20-4<BR>\n" );
document.write( "h=16 in.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "80=10(2*10-4)/2<BR>\n" );
document.write( "80=10(20-4)/2<BR>\n" );
document.write( "80=10*16/2<BR>\n" );
document.write( "80=160/2<BR>\n" );
document.write( "80=80 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );