document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83548>Question 83548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right-angle triangle has a height 8cm more than twice the length of the base. If the area of the triangle is 96cm, find the demensions 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 #60077 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=60077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A right-angle triangle has a height 8cm more than twice the length of the base. If the area of the triangle is 96cm, find the demensions of the triangle.<BR>\n" );
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document.write( "Area = (1/2)(base)(height)<BR>\n" );
document.write( "96 cm^2 = (1/2)(x)(2x+8)<BR>\n" );
document.write( "96 = x^2+4x<BR>\n" );
document.write( "x^2+4x-96=0<BR>\n" );
document.write( "(x+12)(x-8)=0<BR>\n" );
document.write( "Positive solution: x=8 cm (length of the base)<BR>\n" );
document.write( "2x+8 = 24 cm (the height of the triangle)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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