document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=467362>Question 467362</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with this question?\r<BR>\n" );
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document.write( "\"An equilateral triangle has a height of 10 inches. How long are it's sides?\"\r<BR>\n" );
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document.write( "Thanks so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #320698 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=320698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equilateral triangle has 3 sides of equal length.<BR>\n" );
document.write( "the height is equal to 10.<BR>\n" );
document.write( "the height drops from one of the vertices and is the perpendicular bisector of the opposite side.<BR>\n" );
document.write( "it divides the equilateral triangle into 2 right triangles that have a 90 degree angle and a 60 degree angle and a 30 degree angle.<BR>\n" );
document.write( "a 30 / 60 / 90 degree triangle has the following properties:<BR>\n" );
document.write( "sine (30) = 1/2<BR>\n" );
document.write( "sine (60) = sqrt(3)/2<BR>\n" );
document.write( "we can use either the 60 degree angle or the 30 degree angle to find the length of the hypotenuse of one of these triangle.<BR>\n" );
document.write( "that hypotenuse is one of the sides of the equilateral triangle which becomes the length of each of the sides of the equilateral triangle.<BR>\n" );
document.write( "since the height of our triangle is 10 and this is opposite the 60 degree angle, we'll use sine (60) = 10 / hypotenuse.<BR>\n" );
document.write( "we'll solve for hypotenuse to get hypotenuse = 10 / sine (60)<BR>\n" );
document.write( "this becomes 10 / ((sqrt (3) / 2) which becomes 20 / sqrt(3) which becomes 11.54700538 inches.<BR>\n" );
document.write( "each side of your equilateral triangle is equal to 11.54700538 inches.<BR>\n" );
document.write( "shown below is a picture of your triangle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/problems/triangle_2.jpg\" alt = \"***** picture not found *****\"/ ><BR>\n" );
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