document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=799390>Question 799390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The base of a triangle is 2  inches more than 3  times the height. If the area is 8  square inches, find the base and the height </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #482643 by </B><A HREF=/tutors/aboutme.mpl?userid=waynest><B>waynest(281)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=waynest><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=482643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> base = 3h + 2<BR>\n" );
document.write( "height = h<BR>\n" );
document.write( "Area = 8\r<BR>\n" );
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document.write( "h(3h + 2) = 8<BR>\n" );
document.write( "3h^2 + 2h = 8<BR>\n" );
document.write( "3h^2 + 2h - 8 = 8 - 8<BR>\n" );
document.write( "3h^2 + 2h - 8 = 0<BR>\n" );
document.write( "(3h - 4)(h + 2) = 0<BR>\n" );
document.write( "3h - 4 = 0<BR>\n" );
document.write( "3h - 4 + 4 = 4<BR>\n" );
document.write( "3h = 4<BR>\n" );
document.write( "3h/3 = 4/3<BR>\n" );
document.write( "h = 4/3\r<BR>\n" );
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document.write( "h + 2 = 0<BR>\n" );
document.write( "h + 2 - 2 = -2<BR>\n" );
document.write( "h = -2<BR>\n" );
document.write( "you can not have a negative value so h = 4/3 is the right one\r<BR>\n" );
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document.write( "check:<BR>\n" );
document.write( "3(4/3)^2 + 2(4/3) = 8<BR>\n" );
document.write( "3(16/9) + 8/3 = 8<BR>\n" );
document.write( "16/3 = 8/3 = 8<BR>\n" );
document.write( "24/3 = 8<BR>\n" );
document.write( "8 = 8 </SPAN>\n" );
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