document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202646>Question 202646</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Base of a triangle is 4cm greater than the height.  The area is 30cm^2\r<BR>\n" );
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document.write( "Find the height and the length </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152879 by </B><A HREF=/tutors/aboutme.mpl?userid=rajagopalan><B>rajagopalan(174)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rajagopalan><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=rajagopalan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=152879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let height=x<BR>\n" );
document.write( "then base=x+4<BR>\n" );
document.write( "area=1/2*b*h<BR>\n" );
document.write( "=(1/2)*(x)*(x+4)<BR>\n" );
document.write( "=1/2(x^2+4x)<BR>\n" );
document.write( "1/2(x^2+4x)=30<BR>\n" );
document.write( "x^2+4x=30*2<BR>\n" );
document.write( "x^2+4x-60=0<BR>\n" );
document.write( "x^2+10x-6x-60=0<BR>\n" );
document.write( "x(x+10)-6(x+10)=0<BR>\n" );
document.write( "(x-6)(x+10)=0<BR>\n" );
document.write( "giving x=6 or -10<BR>\n" );
document.write( "Ignoring negative value<BR>\n" );
document.write( "we get x=6<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "Height=6<BR>\n" );
document.write( "Base=10<BR>\n" );
document.write( "Verification:<BR>\n" );
document.write( "Area=1/2*b*h<BR>\n" );
document.write( "=1/2*6*10<BR>\n" );
document.write( "=3*10<BR>\n" );
document.write( "=30 sq units<BR>\n" );
document.write( "okay </SPAN>\n" );
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