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" );
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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" );
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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 #435071 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=435071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The other poster solved it for you, but I figured I'd draw out a pic for you so you can see what's going on.\r<BR>\n" );
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document.write( "Start with an equilateral triangle (note an equilateral triangle has three 60 degree angles, ie all angles are equal, and all sides are equal)\r<BR>\n" );
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document.write( "So let x = side length of equilateral triangle\r<BR>\n" );
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document.write( "We would get this pic if we drew out an equilateral triangle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/1-25-20134-30-04PM_zpsea1bce0d.png\">\r<BR>\n" );
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document.write( "Now cut the triangle in half. Pick any vertex and draw a perpendicular line to the opposite side. I'm going to pick the top vertex to get this\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/1-25-20134-30-20PM_zpsa3f0d887.png\">\r<BR>\n" );
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document.write( "Note: the opposite side is cut in half, so the bottom side of x gets cut in half to get two equal pieces of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2 ALIGN=MIDDLE  ALT=\"x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Another Note: the top angle gets cut in half to get two equal 30 degree angles\r<BR>\n" );
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document.write( "So we have a 30-60-90 triangle with legs: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2 ALIGN=MIDDLE  ALT=\"x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the hypotenuse is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > units<BR>\n" );
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