Pre-Calculus Homework Solutions 113

Pre-Calculus Homework Solutions 113 - 36. Sample answer: X...

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36. Sample answer: X is at the origin, so place Y ( a , b ) in the first quadrant. n XYZ is scalene, so place Z on the x -axis so that the x -coordinate c is such that XZ Þ YZ Þ XY .So, the coordinates of Z are ( c ,0). 37. AB 5 4 a AC 5 ¬ Ï (0 2 ( w 2 2 a )) w 2 1 (2 w a 2 0) w 2 w 5 ¬ Ï 4 a 2 1 w 4 a 2 w or Ï 8 a 2 w CB 5 ¬ Ï (0 2 2 w a ) 2 1 w (2 a 2 w 0) 2 w 5 ¬ Ï 4 a 2 1 w 4 a 2 w or Ï 8 a 2 w Slope of A w C w 5 } 0 2 2 a ( 2 2 2 0 a ) } or 1; slope of C w B w 5 } 2 0 a 2 2 2 a 0 } or 2 1. A w C w ' C w B w and A w C w > C w B w , so n ABC is a right isosceles triangle. 38. Sample answer: Placing the figures on the coordinate plane is useful in proofs. We can use coordinate geometry to prove theorems and verify properties. Answers should include the following. • flow proof, two-column proofs, paragraph proofs, informal proofs, and coordinate proofs • Sample answer: The Isosceles Triangle Theorem can be proved using coordinate proof. 39. C; d 5 ¬ Ï ( 2 3 2 w 1) 2 1 w [1 2 ( w 2 2)] 2 w 5 ¬ Ï 16 1 9 w or 5 40. B; 1 } x 1 1 2 x 2 } , } y 1 1 2 y 2 } 2 5 1 } 2 5 1 2
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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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