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Part of 1986 Greece Junior Math Olympiad

Problems(1)

EZ < largest side of ABC - Greece Juniors 1986 p2

Source:

9/13/2024
Let ABCABC be a triangle. α) If point DD lies on side BCBC, prove that AD<ABAD<AB or AD<ACAD <AC β) If point EE lies on side ABAB and point ZZ lies on side ACAC, prove that line segment is EZEZ less than largest side of the triangle ABCABC.
geometry