Suppose you are given a line l and a triangle AABC such that A, B, and C do not lie on l. Prove that l does not intersect all three sides of AABC.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 13E: Is it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and...
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Suppose you are given a line l and a triangle AABC such that A, B, and C do not lie on l. Prove that
l does not intersect all three sides of AABC.
Transcribed Image Text:Suppose you are given a line l and a triangle AABC such that A, B, and C do not lie on l. Prove that l does not intersect all three sides of AABC.
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