document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=706295>Question 706295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i am trying to figure out the lengths of the sides of a triangle i have the height<BR>\n" );
document.write( "and the angle but nothing else.\r<BR>\n" );
document.write( "\n" );
document.write( "overall height is 4 feet<BR>\n" );
document.write( "angles are 60 deg.<BR>\n" );
document.write( "            60 deg.<BR>\n" );
document.write( "            60 deg.\r<BR>\n" );
document.write( "\n" );
document.write( "how do i figure out? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435065 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=435065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  i am trying to figure out the lengths of the sides of a triangle i have the height<BR>\n" );
document.write( "and the angle but nothing else. <BR>\n" );
document.write( "overall height is 4 feet<BR>\n" );
document.write( "angles are 60 deg.<BR>\n" );
document.write( "60 deg.<BR>\n" );
document.write( "60 deg.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Sketch an equilateral triangle with each side = 2s.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Draw an altitutde from one of the sides to the opposite vertex.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "That altitude is a perpendicular bisector of the base.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Each piece of that base is \"s\".<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Now use Pythagoras to solve for \"2s\".<BR>\n" );
document.write( "base = s<BR>\n" );
document.write( "altitude = 4<BR>\n" );
document.write( "hypotenuse = side of the triangle = 2s<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "(2s)^2 = s^2 + 4^2<BR>\n" );
document.write( "4s^2 = s^2 + 16<BR>\n" );
document.write( "3s^2 = 16<BR>\n" );
document.write( "s^2 = 16/3<BR>\n" );
document.write( "s = 4sqrt(3)/3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "side = 2s = (8/3)sqrt(3)<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================\r<BR>\n" );
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document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );