document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138181>Question 138181</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lenght of an altitude of a triangle is one-third the lenght of the side to which it is drawn. If the area of the triangle is 6 square centimeters, find the lenght of that attitude? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100907 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=100907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area of a triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29bh ALIGN=MIDDLE  ALT=\"A=%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" > where b is the base and h is the height or altitude.  The base is that side of the triangle to which the altitude is drawn.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, if x is the altitude then 3x is the base because the length of the altitute is one third the length of the base.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Substituting in the area formula:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%283x%29%28x%29=6 ALIGN=MIDDLE  ALT=\"%281%2F2%29%283x%29%28x%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%293x%5E2=6 ALIGN=MIDDLE  ALT=\"%281%2F2%293x%5E2=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x%5E2=2 ALIGN=MIDDLE  ALT=\"%281%2F2%29x%5E2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=4 ALIGN=MIDDLE  ALT=\"x%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%284%29=2 ALIGN=MIDDLE  ALT=\"x=sqrt%284%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (ignore the negative square root because we are calculating a length)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, the altitude is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check the answer:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29bh ALIGN=MIDDLE  ALT=\"A=%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3h=3%2A2=6 ALIGN=MIDDLE  ALT=\"b=3h=3%2A2=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29%286%29%282%29=6 ALIGN=MIDDLE  ALT=\"A=%281%2F2%29%286%29%282%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Answer checks. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );