Answered: 1. (Apollonius of Perga, ca 240 – ca…

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

7th Edition

ISBN:9781337614085

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

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

Chapter5: Similar Triangles

Section5.4: The Pythagorean Theorem

Problem 14E: Determine the type of triangle represented if the lengths of its sides are: a a=1.5, b= 2 and c =...

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Question

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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