Pre-Calculus Homework Solutions 165

Pre-Calculus Homework Solutions 165 - PS AD PS 2.2 AB BC...

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46. If n ABC , n ADE then 5 .Plot point E so that B w C w ± D w E w and the proportion is true. AB 5 ¬ Ï [ 2 2 2 w ( 2 10 w )] 2 1 ( w 4 2 6) w 2 w 5 ¬ Ï 8 2 1 ( w 2 2) 2 w 5 ¬ Ï 68 w or 2 Ï 17 w AD 5 ¬ Ï [6 2 ( w 2 10)] w 2 1 (2 w 2 6) 2 w 5 ¬ Ï 16 2 1 w ( 2 4) 2 w 5 ¬ Ï 272 w or 4 Ï 17 w } A A D B } 5 } 2 4 Ï Ï 1 1 7 w 7 w } or } 1 2 } ,so DE 5 2( BC ). To get from point B to point C ,move down 6 units and then move left 2 units. To get from point D to point E ,move down 12 units and then move left 4 units. Locate point E at (2, 2 10). 47. n ABC , n ACD by AA Similarity. n ABC , n CBD by AA Similarity. n ACD , n CBD by AA Similarity. 48. Sample answer: Engineers use triangles, some the same shape, but different in size, to complete a project. Answers should include the following. • Engineers use triangles in construction because they are rigid shapes. • With the small ground pressure, the tower does not sink, shift, lean, or fall over. 49.
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