Pre-Calculus Homework Solutions 202

Pre-Calculus Homework Solutions 202 - 42 Sample answer...

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42. Sample answer: Congruent triangles of different color can be arranged to create patterns. Answers should include the following. • 5, 9, 15, and 17; 3, 4, 6, 7, 10, 11, and 12 • Placing 45° angles next to one another forms 90° angles, which can be placed next to each other, leaving no holes. 43. C; 2 x 1 4 x 5 90 6 x 5 90 x 5 15 m / A 5 4 x 5 4(15) 5 60 m / B 5 2 x 5 2(15) 5 30 BC 5 Ï 3 w ( AC ) 6 5 Ï 3 w ( AC ) } Ï 6 3 w } 5 AC } Ï 6 3 w } ? } Ï Ï 3 w 3 w } 5 AC } 6 Ï 3 3 w } 5 AC 2 Ï 3 w 5 AC AB 5 2( AC ) AB 5 2(2 Ï 3 w ) 5 4 Ï 3 w 44. (3 4)(5 3) ¬ 5 1 } 3 4 2 2 } 21 } 5 3 2 2 } 2 ¬ 5 } 5 4 2 2 } ¬ 5 } 2 1 5 6 } Page 363 Maintain Your Skills 45. a 2 1 b 2 ¬ 5 c 2 3 2 1 4 2 ¬ 0 5 2 9 1 16 ¬ 0 25 25 ¬ 5 25 Since 25 5 25, the measures satisfy the Pythagorean Theorem, so the sides can be the sides of a right triangle. All side lengths are whole numbers, so the measures form a Pythagorean triple. 46.
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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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