Online Geometry theorems, problems, solutions, and related topics.
Geometry Problem. Post your solution in the comment box below.Level: Mathematics Education, High School, Honors Geometry, College.Click the diagram below to enlarge it.
∠GAH= ∠CAD= ∠ADF − ∠ACE= ∠ABF − ∠ABE= ∠EBF= ∠GBHHence, ABHG are concyclic. ***CorollarySince ∠GHB = ∠DAB = ∠DFBThus, GH // CF.
Denote ∠DAB = ∠DFB = x and ∠ABE = ∠ACE = yClearly ∠G = x - y = ∠H and so A,G,H,B are concyclic
< ABF = <ADF......(1)<ABE = <ACF .....,(2)(1)-(2) < EBF = < CAD = < GAHso ABHG is concylicSumith PeirisMoratuwaSri Lanka