Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.
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Monday, July 11, 2011
Problem 633: Triangle, Parallel Lines, Intersecting Lines
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c.t.e.o, sumith peiris, peter tran or anybody else : no one to solve this one ?
ReplyDeleteWe can use Pappus theorem here. Consider points on line(A,H,G) and line(B,D,F). AF and BG intersect at point E, DG and HF intersect at point C. By Pappus theorem point of intersection of AD and BH must be collinear with E and C. Since AD and EC are parallel and never intersect, BH must be parallel to AD and EC.
ReplyDeleteWell done Pradyumna
DeleteBrilliant !
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