document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785757>Question 785757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"The area of a triangular sheet of paper is 28 square inches. One side of the triangle is 2 inches more than three times the length of the altitude to that side. Find the length of that side and the altitude to that side.\"\r<BR>\n" );
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document.write( "Can I get help setting up an equation and solving please?\r<BR>\n" );
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document.write( "Thank you for your time!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477709 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=477709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"The area of a triangular sheet of paper is 28 square inches. One side of the triangle is 2 inches more than three times the length of the altitude to that side. Find the length of that side and the altitude to that side.\"\r<BR>\n" );
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document.write( "area of triangle = 28 jn^2\r<BR>\n" );
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document.write( "altitude=x<BR>\n" );
document.write( "side = 3x+2\r<BR>\n" );
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document.write( "Area of Triangle = ?12 * base * altitude\r<BR>\n" );
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document.write( "28= 1/2 * x*(3x+2)\r<BR>\n" );
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document.write( "*2<BR>\n" );
document.write( "56=x(3x+2)\r<BR>\n" );
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document.write( "56=3x^2+2x\r<BR>\n" );
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document.write( "3x^2+2x-56=0\r<BR>\n" );
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document.write( "Find the roots of the equation by quadratic formula							<BR>\n" );
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document.write( "a=	3	,	b=	2	,	c=	-56<BR>\n" );
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document.write( "b^2-4ac=	4	+	672				<BR>\n" );
document.write( "b^2-4ac=	676						<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%09sqrt%28%09676%09%29=%0926%09 ALIGN=MIDDLE  ALT=\"%09sqrt%28%09676%09%29=%0926%09\"   DISABLED_style= \"max-width:90%; height:auto;\" >		<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "x1=(	-2	+	26	)/	6		<BR>\n" );
document.write( "x1=	4.00						<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "x2=(	-2	-26	) /	6			<BR>\n" );
document.write( "x2=	-4.67						\r<BR>\n" );
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document.write( "ignore negative value\r<BR>\n" );
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document.write( "altitude = 4\r<BR>\n" );
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document.write( "base = 3x+2=> 3*4+2=14\r<BR>\n" );
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document.write( "CHECK\r<BR>\n" );
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document.write( "1/2 * 4*14<BR>\n" );
document.write( "=28 </SPAN>\n" );
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