document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=848199>Question 848199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The base of the triangle is 5 cm greater than the height. The area is 33 cm^2. Find the height and the length of the base. \r<BR>\n" );
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document.write( "The height of the triangle is ___ cm\r<BR>\n" );
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document.write( "The base of the triangle is ___ cm </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510939 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=510939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A = 1/2 * B * H\r<BR>\n" );
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document.write( "33 = 1/2 * B * H\r<BR>\n" );
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document.write( "B = H + 5\r<BR>\n" );
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document.write( "33 = (1/2)* (H+5) * H  (don't like fractions, multiply by 2)\r<BR>\n" );
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document.write( "66 = (H+5)*H\r<BR>\n" );
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document.write( "66 = H^2 + 5H\r<BR>\n" );
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document.write( "H^2 +5H - 66 = 0\r<BR>\n" );
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document.write( "(H+11)(H-6) = 0 \r<BR>\n" );
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document.write( "H = -11  H = 6   <- we can't have a negative height, so h = 6\r<BR>\n" );
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document.write( "Then B = 6 + 5 = 11\r<BR>\n" );
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document.write( "The height is 6 cm.\r<BR>\n" );
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document.write( "The base is 11 cm. </SPAN>\n" );
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