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Geometry Problem 1114: Right Triangle, Angle Trisection, Isosceles, Congruence. Level: High School, SAT Prep, College, Math Education

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The figure below shows a right triangle ABC with AA1 and AA2 trisectors of angle BAC, similarly CC1 and CC2 trisectors of angle ACB. AA1 meets CC2 and CC1 at C3 and B1, respectively. AA2 meets CC2 and CC1 at B2 and A3, respectively. Prove that (1) AC1 = AB2, similarly CA1 = CB2; (2) B2C1 = B2A1.
 

Infographic Geometry problem 1114: Right Triangle, Angle Trisection, Isosceles, Congruence
 

 

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Last updated: Apr 29, 2015 by Antonio Gutierrez.