document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=339749>Question 339749</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. Can you please set the solution in a step by step method. Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #243390 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=243390\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let altitude be x<BR>\n" );
document.write( "base = 3x+2..<BR>\n" );
document.write( "Area of triangle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29+%2A+base%2Aaltitude ALIGN=MIDDLE  ALT=\"%281%2F2%29+%2A+base%2Aaltitude\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "28 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Ax%2A%283x%2B2%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Ax%2A%283x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by 2<BR>\n" );
document.write( "2*28= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%283x%2B2%29 ALIGN=MIDDLE  ALT=\"x%2A%283x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "56=3x^2+2x<BR>\n" );
document.write( "add -56 to both sides<BR>\n" );
document.write( "56-56=3x^2+2x-56<BR>\n" );
document.write( "3x^2+2x-56=0<BR>\n" );
document.write( "solve using quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=3, b=2,c =-56<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-2%2Bsqrt%282%5E2-4%2A3%2A%28-56%29%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x1=%28-2%2Bsqrt%282%5E2-4%2A3%2A%28-56%29%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x1=4 inches<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-2-sqrt%282%5E2-4%2A3%2A%28-56%29%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x1=%28-2-sqrt%282%5E2-4%2A3%2A%28-56%29%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "x2=-4.66<BR>\n" );
document.write( "ignore negative value.<BR>\n" );
document.write( "Altitude = 5<BR>\n" );
document.write( "base = 3x+2 = 15+2 =17 inches </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );