Let AABC have incircle C(O,r), and let the points of tangency of C(0,r) with BC, AC, AB be D, E and F respectively. Prove that DEF cannot be a right angled triangle. 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.
Chapter4: Quadrilaterals
Section4.4: The Trapezoid
Problem 18E: Given: Isosceles ABE with AEBE; also, D and C are midpoints of AE and BE, respectively. Prove: ABCD...
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Let AABC have incircle C(O, r), and let the points of tangency of C(0,r) with BC, AC, AB be D, E and F respectively. Prove that DEF
cannot be a right angled triangle.
A
В
Transcribed Image Text:Let AABC have incircle C(O, r), and let the points of tangency of C(0,r) with BC, AC, AB be D, E and F respectively. Prove that DEF cannot be a right angled triangle. A В
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