Pre-Calculus Homework Solutions 187

Pre-Calculus Homework Solutions 187 - Chapter 7 Right...

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Page 341 Getting Started 1. 3 4 ¬ 1 a 2 3 a ¬ 48 a ¬ 16 2. 5 c ¬ 8 3 3 c ¬ 40 c ¬ 13.33 3. 2 e 0 ¬ 6 5 5 e ¬ 120 e ¬ 24 6 5 ¬ 1 f 0 60 ¬ 5 f 12 ¬ f 4. 4 3 ¬ 6 y 4 y ¬ 18 y ¬ 4.5 4 3 ¬ 1 z 4 z ¬ 3 z ¬ 0.75 5. c 2 5 2 12 2 c 2 25 144 169 c 13 6. c 2 6 2 8 2 c 2 36 64 100 c 10 7. c 2 15 2 15 2 c 2 225 225 450 c 21.21 8. c 2 14 2 27 2 c 2 196 729 925 c 30.41 9. 8 4 2 4 2 2 2 10. 10 2 5 2 100 25 75 25 3 25 3 5 3 11. 39 2 36 2 1521 1296 225 15 12. 7 2 7 2 2 2 7 4 2 7 2 2 13. x 44 38 ¬ 180 x 82 ¬ 180 x ¬ 98 14. x 40 155 x 115 15. x 2 x 21 90 ¬ 180 3 x 111 ¬ 180 3 x ¬ 69 x ¬ 23 Geometric Mean Page 343 Geometry Software Investigation 1. See students’ work. 2. They are equal. 3. They are equal. 4. They are similar. Pages 345–346 Check for Understanding 1. Sample answer: 2 and 72. Let x represent the geometric mean. 2 x ¬ 7 x 2 x 2 ¬ 144 x ¬ 144 or 12 2. For leg CB , DB is the segment of the hypotenuse that shares an endpoint. Thus, it is the adjacent segment. The same is true for leg AC and segment AD . 3. Ian; his proportion shows that the altitude is the
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