Pre-Calculus Homework Solutions 193

Pre-Calculus Homework Solutions 193 - 7 Pages 354356...

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7. JK 5 Ï [ 2 1 2 w ( 2 2)] w 2 1 (6 w 2 2) 2 w 5 Ï 1 2 1 4 w 2 w or Ï 17 w KL 5 Ï [3 2 ( w 2 1)] 2 w 1 (5 2 w 6) 2 w 5 Ï 4 2 1 ( w 2 1) 2 w or Ï 17 w JL 5 Ï [3 2 ( w 2 2)] 2 w 1 (5 2 w 2) 2 w 5 Ï 5 2 1 3 w 2 w or Ï 34 w JK 2 1 KL 2 0 ¬ JL 2 1 Ï 17 w 2 2 1 1 Ï 17 w 2 2 0 ¬ 1 Ï 34 w 2 2 17 1 17 0 ¬ 34 34 5 ¬ 34 Yes; n JKL is a right triangle since the sum of the squares of two sides equals the square of the longest side. 8. Since the measure of the longest side is 39, 39 must be c , and a or b are 15 and 36. a 2 1 b 2 5 ¬ c 2 15 2 1 36 2 0 ¬ 39 2 225 1 1296 0 ¬ 1521 1521 5 ¬ 1521 These segments form the sides of a right triangle since they satisfy the Pythagorean Theorem. The measures are whole numbers and form a Pythagorean triple. 9. Since the measure of the longest side is 21, 21 must be c , and a or b are Ï 40 w and 20. a 2 1 b 2 5 ¬ c 2 1 Ï 40 w 2 2 1 20 2 0 ¬ 21 2 40 1 400 0 ¬ 441 440 Þ ¬ 441 Since 400 Þ 441, segments with these measures cannot form a right triangle. Therefore, they do
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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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