Pre-Calculus Homework Solutions 195

# Pre-Calculus Homework Solutions 195 - 26 Since the measure...

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26. Since the measure of the longest side is } Ï 3 7 5 4 w } , } Ï 3 7 5 4 w } must be c , and a or b are } 1 5 } and } 1 7 } . a 2 1 b 2 5 ¬ c 2 1 } 1 5 } 2 2 1 1 } 1 7 } 2 2 0 ¬ 1 } Ï 3 7 5 4 w } 2 2 } 2 1 5 } 1 } 4 1 9 } 0 ¬ } 1 7 2 4 25 } } 1 7 2 4 25 } 5 ¬ } 1 7 2 4 25 } These segments form the sides of a right triangle since they satisfy the Pythagorean Theorem. However, the three numbers are not whole numbers. Therefore, they do not form a Pythagorean triple. 27. Since the measure of the longest side is } 3 3 5 6 } , } 3 3 5 6 } must be c , and a or b are } Ï 2 3 w } and } Ï 3 2 w } . a 2 1 b 2 5 ¬ c 2 1 } Ï 2 3 w } 2 2 1 1 } Ï 3 2 w } 2 2 0 ¬ 1 } 3 3 5 6 } 2 2 } 3 4 } 1 } 2 9 } 0 ¬ } 1 1 2 2 2 9 5 6 } } 3 3 5 6 } Þ ¬ } 1 1 2 2 2 9 5 6 } Since } 3 3 5 6 } Þ } 1 1 2 2 2 9 5 6 } , segments with these measures cannot form a right triangle. Therefore, they do not form a Pythagorean triple. 28.
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