document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756299>Question 756299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The congruent sides of an isosceles triangle have length t. The third side of the isosceles triangle has a length of 19. What is the smallest possible integer value for t? </SPAN>\n" );
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document.write( "By the triangle inequality, the sum of the lengths of the two sides of a triangle must be more than the length of the third side. \r<BR>\n" );
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document.write( "We are trying to minimize t, so it is safe to say that the minimum of t exists when the side with length 19 is the longest side. \r<BR>\n" );
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document.write( "We get t+t>19 from the triangle inequality, so 2t>19, so t>9.5, \r<BR>\n" );
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document.write( "Since t is an integer, the smallest possible integer value of t is 10. \r<BR>\n" );
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