Pre-Calculus Homework Solutions 140

Pre-Calculus Homework Solutions 140 - 50. Sample answer:...

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50. Sample answer: The length of any side of a triangle is greater than the differences between the lengths of the other two sides. Paragraph Proof: By the Triangle Inequality Theorem, for n ABC with side measures a , b , and c , a 1 b . c , b 1 c . a , and c 1 a . b .Using the Subtraction Property of Inequality, a . c 2 b , b . a 2 c , and c . b 2 a . 51. Sample answer: You can use the Triangle Inequality Theorem to verify the shortest route between two locations. Answers should include the following. • A longer route might be better if you want to collect frequent flier miles. • A straight route might not always be available. 52. D; If the perimeter is 29, the measure of the third side is 10. 7 1 10 ¬ . ? 12 7 1 12 ¬ . ? 10 10 1 12 ¬ . ? 7 17 ¬ . 12 19 ¬ . 10 22 ¬ . 7 So, 7, 12, and 10 could be the sides of a triangle with perimeter 29. If the perimeter is 34, the measure of the third side is 15. 7
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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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