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1. (Apollonius of Perga, ca 240 – ca 190 BC). Let ABC be a triangle, and m be the length of the median from vertex C. If AB = c, BC = b and AC = a, show that a? + b² = 5 + 2m?. 2 b. a. E

1. (Apollonius of Perga, ca 240 – ca 190 BC). Let ABC be a triangle, and m be the length of the median from vertex C. If AB = c, BC = b and AC = a, show that a? + b² = 5 + 2m?. 2 b. a. E

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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1. (Apollonius of Perga, ca 240 – ca 190 BC). Let ABC be a triangle, and m be the length of the median from vertex C. If AB = c, BC = b and AC = a, show that a? + b? = + 2m?. a, m A
Transcribed Image Text:1. (Apollonius of Perga, ca 240 – ca 190 BC). Let ABC be a triangle, and m be the length of the median from vertex C. If AB = c, BC = b and AC = a, show that a? + b? = + 2m?. a, m A
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