document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206202>Question 1206202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measures of two sides are given 9 and 15. Between what two numbers must the third side fall.<BR>\n" );
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document.write( " Write an inequality to represent your answer:___________ </SPAN>\n" );
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document.write( "Answer:  <font color=red size=4>6 < c < 24</font>\r<BR>\n" );
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document.write( "Explanation\r<BR>\n" );
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document.write( "Refer to example 3 and example 4 of <a  rel=nofollow HREF=\"https://www.algebra.com/algebra/homework/Triangles/triangle-inequality-theorem.lesson\">this lesson</a> (scroll up a bit to see how I derived the inequality)\r<BR>\n" );
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document.write( "a = 9<BR>\n" );
document.write( "b = 15<BR>\n" );
document.write( "b-a < c < b+a<BR>\n" );
document.write( "15-9 < c < 15+9<BR>\n" );
document.write( "<font color=red size=4>6 < c < 24</font>\r<BR>\n" );
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document.write( "If a triangle has sides 9 units and 15 units, then the third side is somewhere between 6 units and 24 units where we exclude both endpoints.<BR>\n" );
document.write( "Meaning that c = 6 isn't possible, and neither is c = 24.\r<BR>\n" );
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document.write( "If c is a whole number then here are the possible values: 7, 8, 9, 10, ..., 22, or 23.<BR>\n" );
document.write( "If c is some decimal value, then there are infinitely many possibilities (as long as it's between 6 and 24 of course).\r<BR>\n" );
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document.write( "A similar question is found <a  rel=nofollow HREF=\"https://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.1206181.html\">here</a><BR>\n" );
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