document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=722346>Question 722346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The segment connecting point A(1,2) to point B(4,2) is one side of a 30º-60º-90º triangle, , but you do not know which side.  It could be the shorter leg, the longer leg or the hypotenuse. <BR>\n" );
document.write( "How many 30º-60º-90º triangles can be drawn under these conditions?  <BR>\n" );
document.write( "For each triangle, state:<BR>\n" );
document.write( "   • the coordinates of point C.<BR>\n" );
document.write( "   • the lengths of the 3 sides.\r<BR>\n" );
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document.write( "I have all the lengths of all sides of every triangle and the coordinate C for every triangle except four. \r<BR>\n" );
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document.write( "I have all 12 possible triangles, but when AB is the hypotenuse, I cannot find the coordinate of C. <BR>\n" );
document.write( "Please help me find a way or a formula to solve for coordinate C when I have all side lengths and two other points? Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #442725 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=442725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length from A to B is 3<BR>\n" );
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document.write( "If AB is the hypoteuse, the side opposite the 30 degree<BR>\n" );
document.write( "angle is (1/2)(3 = 3/2<BR>\n" );
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document.write( "The side opposite the 60 degree angle is [sqrt(3)/2]*3 = (3/2)sqrt(3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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