Pre-Calculus Homework Solutions 124

Pre-Calculus Homework Solutions 124 - Page 245 Maintain...

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33. Given: n ABC with angle bisectors AD #$ ,BE #$ , and CF #$ , K w P w ' A w B w , K w Q w ' B w C w , K w R w ' A w C w Prove: KP 5 KQ 5 KR Proof: 34. The flag is located at the intersection of the angle bisector between Amesbury and Stearns Roads and the perpendicular bisector of the segment joining Grand Tower and the park entrance. 35. } 16 1 2 3 1 ( 2 6) } 5 4 36. } 8 1 4 3 1 12 } 5 8 37. 38. The centroid has the same coordinates as the means of the vertices’ coordinates. 39. The altitude will be the same for both triangles, and the bases will be congruent, so the areas will be equal. 40. Sample answer: You can balance a triangle on a pencil point by locating the center of gravity of the triangle. Answers should include the following. •centroid 41. C; GJ 5 JH , so J is the midpoint of GH and F w J w is a median of n FGH . 42. D; 3 x 5 ¬ 0.3 y 10.0 x 5 ¬ y 10.0 5 ¬ } y x } Page 245 Maintain Your Skills 43. Sample answer: • Use the origin as vertex A of the triangle. • Place side
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