document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437343>Question 437343</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an isosceles triangle has a vertical angle of 120 and base 10cm long. find the length of it altitude </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302549 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=302549\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Drawing the bisector of vertical angle 120 degree, it bisect  the base of isosceles triangle and is perpendicular to the base.<BR>\n" );
document.write( "The altitude is the leg of the right triangle across 30 degree angle and as we know is half of the hypotenuse's length.<BR>\n" );
document.write( "Let x the length of  hypotenuse, then the length of the leg is x/2 cm.\r<BR>\n" );
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document.write( "Applying Pythagorean theorem we have:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%28x%2F2%29%5E2=5%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-%28x%2F2%29%5E2=5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,solving this equation\r<BR>\n" );
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document.write( "we have:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2F4=25 ALIGN=MIDDLE  ALT=\"3x%5E2%2F4=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2=100 ALIGN=MIDDLE  ALT=\"3x%5E2=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=100%2F3 ALIGN=MIDDLE  ALT=\"x%5E2=100%2F3\"   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=x=sqrt%28100%2F3%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28100%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2810sqrt%283%29%29%2F3 ALIGN=MIDDLE  ALT=\"x=%2810sqrt%283%29%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm, and the length of the altitude is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2=%2810sqrt%283%29%29%2F%283%2A2%29=%2810sqrt%283%29%29%2F6 ALIGN=MIDDLE  ALT=\"x%2F2=%2810sqrt%283%29%29%2F%283%2A2%29=%2810sqrt%283%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm. </SPAN>\n" );
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