Linear Algebra: A Modern Introduction

4th Edition

ISBN: 9781285463247

Author: David Poole

Publisher: Cengage Learning

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AB and CD are diameters of the

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Use the results from Exercises 36 and 37 to find the exact length of the radius of the inscribed circle for a triangle with sides of lengths a 8, 15 and 17 b 7, 9 and 12

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Circles O, P, and Q are tangent as shown at points X, Y, and Z. Being as specific as possible, explain what type of triangle PQO is if: a OX=2,PY=3,QZ=1 b OX=2,PY=3,QZ=2

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Consider regular pentagon RSTVQ not shown. Given that diagonals QT and VR intersect at point F, show that VFFR=TFFQ.

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In Exercises 46 to 49, prove the stated theorem. If a line is drawn through the center of a circle perpendicular to a chord, then it bisects the chord and its minor arc. See Figure 6.37 on page 298. NOTE: The major arc is also bisected by the line.

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For rectangle MNPQ, points A, B, C and D are the midpoints of the sides. aWhat type of quadrilateral not shown is ABCD? bAre the inscribed circle for ABCD and the circumscribed circle for MNPQ concentric circles?

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