Pre-Calculus Homework Solutions 139

# Pre-Calculus Homework Solutions 139 - RS 16.5 RT 16.5 ? ?...

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141 Chapter 5 RS 1 RT ¬ . ? ST 16.5 1 16.5 ¬ . ? 33 33 ¬ 5 33 Because the sum of two measures equals the third measure, the sides cannot form a triangle and so the coordinates cannot be the vertices of a triangle. 45. Consider all possible triples using the lengths 3, 4, 5, 6, and 12. 3 1 4 ¬ . ? 54 1 5 ¬ . ? 33 1 5 ¬ . ? 4 7 ¬ . 5 9 ¬ . 3 8 ¬ . 4 3 1 4 ¬ . ? 64 1 6 ¬ . ? 1 6 ¬ . ? 4 7 ¬ . 6 10 ¬ . 3 9 ¬ . 4 3 1 4 ¬ . 12 7 ¬ . 12 4 1 5 ¬ . ? 1 6 ¬ . ? 55 1 6 ¬ . ? 4 9 ¬ . 6 10 ¬ . 5 11 ¬ . 4 4 1 5 ¬ . ? 12 9 ¬ . 12 3 1 5 ¬ . ? 65 1 6 ¬ . ? 1 6 ¬ . ? 5 8 ¬ . 6 11 ¬ . 3 9 ¬ . 5 3 1 5 ¬ . ? 12 8 ¬ . 12 3 1 6 ¬ . ? 12 9 ¬ . 12 4 1 6 ¬ . ? 12 10 ¬ . 12 5 1 6 ¬ . ? 12 11 ¬ . 12 Of all possible triples, 4 of them satisfy the triangle inequality, so there are 4 possible triangles. 46. 3 1 4 1 5 5 12, which is divisible by 3 3 1 4 1 6 5 13, which is not divisible by 3 4 1 5 1 6 5 15, which is divisible by 3 3 1 5 1 6 5 14, which is not divisible by 3 Carlota could make 2 different triangles with a perimeter that is divisible by 3.
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## This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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