document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=547630>Question 547630</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the height of a triangle is 5cm more than three times the base. if the area of the triangle is 6cm^2, what is the base.\r<BR>\n" );
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document.write( "A=6cm^2<BR>\n" );
document.write( "h=3b+5cm<BR>\n" );
document.write( "b=?\r<BR>\n" );
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document.write( "6cm^2=(1/2) x b x (3b+5cm)\r<BR>\n" );
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document.write( "I keep getting stuck at: 12cm^2 = 3b^2 + (5cm x b)\r<BR>\n" );
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document.write( "Per the answer key, the answer is b= (4/3)cm but I am unable to get to the answer from the question, nor the question from the answer as I always get stuck in the same place </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356531 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=356531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the height of a triangle is 5cm more than three times the base.<BR>\n" );
document.write( " if the area of the triangle is 6cm^2, what is the base. <BR>\n" );
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document.write( "Let x = the length of the base<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(3x+5) = the height<BR>\n" );
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document.write( "The Area<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*x(3x+5) = 6<BR>\n" );
document.write( "get rid of the fraction, multiply both sides by 2<BR>\n" );
document.write( "x(3x+5) = 12<BR>\n" );
document.write( "3x^2 + 5x = 12<BR>\n" );
document.write( "3x^2 + 5x - 12 = 0<BR>\n" );
document.write( "A quadratic equation, we can factor to:<BR>\n" );
document.write( "(3x-4)(x+3) = 0<BR>\n" );
document.write( "the positive solution, all we want here<BR>\n" );
document.write( "3x = 4<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "see if that checks out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > * (3*(4/3)+5) = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 9 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F6 ALIGN=MIDDLE  ALT=\"36%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6<BR>\n" );
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