Let ABCD be a cyclic quadrilateral with AB = 4, BC = 5, CD = 6, and DA = 7. Let Aj and C, bethe feet of the perpendiculars from A and C, respectively, to line BD, and let B1 and Di be the feet of the%3Dperpendiculars from B and D, respectively, to line AC.The perimeter of A, BỊC,D¡ is -тwhere m andn are relatively prime positive integers. Find m + n.

Name: Let ABCD be a cyclic quadrilateral with AB = 4, BC = 5, CD = 6, and D
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Description: Let ABCD be a cyclic quadrilateral with AB = 4, BC = 5, CD = 6, and DA = 7. Let Aj and C, bethe feet of the perpendiculars from A and C, respectively, to line BD, and let B1 and Di be the feet of the%3Dperpendiculars from B and D, respectively, to l

Let O be the point of intersection of diagonals AC and BD. Assume θ=∠AOB.Since the triangles…

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Let ABCD be a cyclic quadrilateral with AB = 4, BC = 5, C'D = 6, and DA= 7. Let A1 and C, be the feet of the perpendiculars from A and C, respectively, to line BD, and let B1 and D1 be the feet of the %3D m perpendiculars from B and D, respectively, to line AC.The perimeter of AB¸C¸D¸ is –, where m and n are relatively prime positive integers. Find m +n.

Let ABCD be a cyclic quadrilateral with AB = 4, BC = 5, C'D = 6, and DA= 7. Let A1 and C, be the feet of the perpendiculars from A and C, respectively, to line BD, and let B1 and D1 be the feet of the %3D m perpendiculars from B and D, respectively, to line AC.The perimeter of AB¸C¸D¸ is –, where m and n are relatively prime positive integers. Find m +n.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Let ABCD be a cyclic quadrilateral with AB = 4, BC = 5, CD = 6, and DA = 7. Let Aj and C, be
the feet of the perpendiculars from A and C, respectively, to line BD, and let B1 and Di be the feet of the
%3D
perpendiculars from B and D, respectively, to line AC.The perimeter of A, BỊC,D¡ is -
т
where m and
n are relatively prime positive integers. Find m + n.

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