document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154546>Question 1154546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that one of the angles of a triangle is exactly twice the size of another angle of the triangle. Show that any such triangle can be dissected, by a single straight cut, into two triangles, one of which is isosceles, the other of which is similar to the original.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777033 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=777033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Show by making a simple diagram.<br><BR>\n" );
document.write( "Draw a triangle with one angle with measure x degrees and another angle with measure 2x degrees.<br><BR>\n" );
document.write( "Bisect the angle with measure 2x degrees.<br><BR>\n" );
document.write( "That divides the triangle into two smaller triangles.<br><BR>\n" );
document.write( "One of those two smaller triangles has two angles with measure x degrees, so it is isosceles.<br><BR>\n" );
document.write( "The other smaller triangle has two angles with measures x and 2x, so it is similar to the original triangle.<br><BR>\n" );
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