Geometry Statements

Geometry Level 3

Given an acute triangle ABC (AB > AC) with M is the midpoint of BC. From M, draw a line perpendicular to the angle bisector of C A B ^ \widehat{CAB} at H and meet AB and AC at E and F. Which statement is true?

Statements A;B;C;D;E are true. A. 2 C M H ^ + B A C ^ = A H B ^ 2\widehat{CMH}+\widehat{BAC}=\widehat{AHB} D. A B C ^ > A C B ^ \widehat{ABC} > \widehat{ACB} C. ME = MF B. BE=CF E. H is overlapping M. Statements A;B;C;D;E are false.

Tin Le by Tin Le , 15, Vietnam

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