document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60684>Question 60684</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider triangle ABC.  It is given that AB = AC, AB = 4x + 2y, BC = 5x, and AC= 10y.  is the triangle equilateral?  Justify answer\r<BR>\n" );
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document.write( "What is the smallest number that the sum of the two largest angles in a scalene triangle can be if all the angle measures are whole numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41824 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider triangle ABC.  It is given that AB = AC, AB = 4x + 2y, BC = 5x, and AC= 10y.  is the triangle equilateral?  Justify answer<BR>\n" );
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document.write( "It may help to draw a triangle and label the sides as given:<BR>\n" );
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document.write( "Since AB = AC we can say:<BR>\n" );
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document.write( "4x + 2y = 10y<BR>\n" );
document.write( "4x = 10y - 2y<BR>\n" );
document.write( "4x = 8y<BR>\n" );
document.write( "x = (8/4)y<BR>\n" );
document.write( "x = 2y<BR>\n" );
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document.write( "If x = 2y and the third side, BC, is given as 5x, we can say:<BR>\n" );
document.write( "5x = 5(2y) = 10y which is given as side AC, so it is, in fact, equilateral.<BR>\n" );
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document.write( "What is the smallest number that the sum of the two largest angles in a scalene triangle can be if all the angle measures are whole numbers?<BR>\n" );
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document.write( "I guess that means that the 2 equal angles are both greater than the 3rd angle.<BR>\n" );
document.write( "It would have to be close to being equilateral triangle (all angles 60 degrees)<BR>\n" );
document.write( "I'm going to say angles of 61, 61, 58, smallest sum would be 122 degrees.<BR>\n" );
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document.write( "Let me know if I am wrong about this.  </SPAN>\n" );
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