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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
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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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.
Transcribed Image Text: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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