document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=857594>Question 857594</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I've spent so much time on this one problem and still can't figure it out! If you could help me out, it would be really appreciated!\r<BR>\n" );
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document.write( "A rectangle has a diagonal 20 inches long that forms angles of<BR>\n" );
document.write( "60° and 30° with the sides. Find the perimeter of the rectangle.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #516664 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=516664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That makes an important-to-know special triangle.  The remaining angle is 90 degrees, which you would expect, knowing that the diagonal is in a rectangle.  Each triangle formed is half of an equilateral triangle.  The diagonal of your rectangle is one of the equilateral triangles equal sides.  The short leg of the special triangle is HALF the diagonal, or 10 inches.  \r<BR>\n" );
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document.write( "The long leg is the same as the long side of the rectangle.  Find it using Pythagorean Theorem for Right Triangle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B10%5E2=20%5E2 ALIGN=MIDDLE  ALT=\"y%5E2%2B10%5E2=20%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=400-100=300 ALIGN=MIDDLE  ALT=\"y%5E2=400-100=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%28300%29 ALIGN=MIDDLE  ALT=\"y=sqrt%28300%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=10%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=10%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----the long side of the rectangle.<BR>\n" );
document.write( "Remember, short leg, the shorter side of the rectangle, is 10.\r<BR>\n" );
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document.write( "I leave the perimeter part to you. </SPAN>\n" );
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