document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=659094>Question 659094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle has an area of 10 cm2.   The height of the triangle is 4 cm longer than three times the base.   Find the height and base 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 #410674 by </B><A HREF=/tutors/aboutme.mpl?userid=nicy12><B>nicy12(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nicy12><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=410674\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"A triangle has an area of 10 cm2.   The height of the triangle is 4 cm longer than three times the base.   Find the height and base of the triangle.\"\r<BR>\n" );
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document.write( "A=10cm2<BR>\n" );
document.write( "h=4+3b\r<BR>\n" );
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document.write( "find h and b\r<BR>\n" );
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document.write( "A=1/2(bh)<BR>\n" );
document.write( "10cm2=[b(4+3b)]/2\r<BR>\n" );
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document.write( "20cm2=4b+3b2\r<BR>\n" );
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document.write( "3b2+4b-20=0\r<BR>\n" );
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document.write( "using quadratic equation:\r<BR>\n" );
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document.write( "a=3  ;  b=4 ; c=-20\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=base=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29 ALIGN=MIDDLE  ALT=\"base=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=base=%28-4%2B-sqrt%284%5E2-4%2A3%2A-20%29%29%2F%282%2A3%29 ALIGN=MIDDLE  ALT=\"base=%28-4%2B-sqrt%284%5E2-4%2A3%2A-20%29%29%2F%282%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "base1=2\r<BR>\n" );
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document.write( "base2=-3.333\r<BR>\n" );
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document.write( "we will take base 1 because it  is positive\r<BR>\n" );
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document.write( "h=4+3b\r<BR>\n" );
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document.write( "h=4+3(2)\r<BR>\n" );
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document.write( "h=10\r<BR>\n" );
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document.write( "checking:\r<BR>\n" );
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document.write( "A=1/2(bh)\r<BR>\n" );
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document.write( "A=1/2(2)(10)\r<BR>\n" );
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document.write( "10cm2=10cm2 (correct)\r<BR>\n" );
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document.write( "the base and height is 2cm and 10cm respectively.\r<BR>\n" );
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document.write( "i hope it helped you :) </SPAN>\n" );
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