document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118100>Question 118100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Myia is running for student council president and wants to design a campaign button that is triangular.  None of the sides can measure more than 7 centimeters.  How many different triangular buttons are possible assuming all the sides are whole centimeters?\r<BR>\n" );
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document.write( "Is there a patttern that  might help solve the problem?\r<BR>\n" );
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document.write( "Ofthe possible lengths of three sides, which one generates a triangle?\r<BR>\n" );
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document.write( "Which triangle would be recommended to be used for the campaign buton?\r<BR>\n" );
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document.write( "Draw all possible triangles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86192 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=86192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ideas to consider.<BR>\n" );
document.write( "1.Each of the three sides must be 1 or 2 or 3 ... or 7<BR>\n" );
document.write( "2.There are 7*7*7 = 343 such patterns of side lengths.<BR>\n" );
document.write( "3.Only those patterns where the sum of each pair of sides<BR>\n" );
document.write( "is greater than the third side will form a triangle. <BR>\n" );
document.write( "For example 1,2,7 cannot form a triangle.<BR>\n" );
document.write( "4. Getting started<BR>\n" );
document.write( "Let one side be 7 and figure out what the other sides must<BR>\n" );
document.write( "be: <BR>\n" );
document.write( "(7,1,7)-----no others starting with (7,1<BR>\n" );
document.write( "(7,2,7),(7,2,6) ----no others starting with (7,2<BR>\n" );
document.write( "(7,3,7),(7,3,6),(7,3,5)---no others starting with (7,3<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "Follow some pattern of development, without duplicating, till you<BR>\n" );
document.write( "have all the possible patterns listed.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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