document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181824>Question 1181824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I need a hint with how to make this construction:  I was given three angles of a triangle and a segment R.\r<BR>\n" );
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document.write( "I need to construct a triangle with the given angles that is circumscribed about a circle with radius R. \r<BR>\n" );
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document.write( "I know that what we need to find is the circumcenter (by finding the perpendicular bisectors), but construction of parallel and perpendicular lines are not yet discussed so I cannot use that. Also, the term circumcenter was not yet discussed. The only constructions discussed so far were: duplicating segments, duplicating angles, and bisecting an angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811747 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) I will assume that you are talking about a classic construction using a compass and straightedge....<br><BR>\n" );
document.write( "(2) The TRIANGLE is CIRCUMSCRIBED about the CIRCLE, so you want the INCENTER, not the CIRCUMCENTER.<br><BR>\n" );
document.write( "The incenter is the intersection of the angle bisectors.<br><BR>\n" );
document.write( "I haven't completely figured out how to do the construction.  There might be an easy way to do it; but, as far as I can see, it is a very complicated one.  I seriously doubt it can be done if the only constructions you have learned are duplicating segments, duplicating angles, and bisecting an angle.<br><BR>\n" );
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