document.write( "Question 1202400: A triangle has two sides of length 19 and 19. What is the largest possible whole-number length for the third side? \n" ); document.write( "
Algebra.Com's Answer #837215 by math_tutor2020(3817) ![]() You can put this solution on YOUR website! \n" ); document.write( "We are given a triangle with sides a = 19 and b = 19. This triangle is isosceles (or could be equilateral).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The third side c has the interval of: \n" ); document.write( "b-a < c < b+a \n" ); document.write( "19-19 < c < 19+19 \n" ); document.write( "0 < c < 38 \n" ); document.write( "Refer to the triangle inequality theorem for more information.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If c is a positive whole number, then we can select values from this set {1,2,3,...,35,36,37}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c = 1 is the smallest side possible \n" ); document.write( "c = 37 is the largest side possible for that missing 3rd side. \n" ); document.write( " \n" ); document.write( " |