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 #811754 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811754\">put this solution on YOUR website!</A><BR><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" );
document.write( "\n" );
document.write( "I need to construct a triangle with the given angles that is circumscribed about a circle with radius R. \r<BR>\n" );
document.write( "\n" );
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.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">If you're referring to the INCENTER, then you have what you need to do the construction.<BR>\n" );
document.write( "All you need to do is construct line segments that bisect each of the 3 angles. The 3 angle bisectors will be CONCURRENT at the INCENTER, which is also the center of the INSCRIBED circle.<BR>\n" );
document.write( "With your compass, you then use the INCENTER (the inscribed circle's center) to draw the circle! <BR>\n" );
document.write( "Also, the smaller segment of each angle bisector, that's located WITHIN the TRIANGLE, will be 3 of the RADII of the circle, if the triangle is an ACUTE one.<BR>\n" );
document.write( "That's IT!! </SPAN>\n" );
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