Pre-Calculus Homework Solutions 130

Pre-Calculus Homework Solutions 130 - 68. true; a a a c b c...

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68. true; a 1 c 5 ¬ 2 1 6 or 8 a 1 b 5 ¬ 2 1 5 or 7 a 1 c . ¬ a 1 b since 8 . 7 Page 254 Practice Quiz 1 1. BD 5 ¬ DC 4 x 1 9 5 ¬ 7 x 2 6 9 5 ¬ 3 x 2 6 15 5 ¬ 3 x 5 5 ¬ x 2. A w D w ' B w C w , so m / ADC 5 90. 2 y 2 6 5 ¬ 90 2 y 5 ¬ 96 y 5 ¬ 48 3. Never; a median is a segment from one vertex to the side opposite the vertex and never intersects any other vertex. 4. Always; an angle bisector lies between two sides of the triangle and is contained in the triangle up to the point where it intersects the opposite side. So, the intersection point of the three angle bisectors must also be inside the triangle. 5. sometimes; true for an obtuse triangle but false for an acute triangle 6. sometimes; true for right triangles but false for other triangles 7. No triangle; by Exercise 4, the angle bisectors always intersect at a point in the interior of the triangle. 8. m / T . m / S . m / U , so the sides of n STU in order from longest to shortest are S w U w , T w U w , S w T w . 9.
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