Online Geometry Problems

Geometry Problem 1127: Triangle, Circumcircle, Tangent, Circle, Diameter, Midpoint, Perpendicular, 90 Degrees. Level: High School, SAT Prep, Honors Geometry, College, Math Education

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In the figure below DA and DC are tangents to circumcircle O of a triangle ABC at A and C. BD intersects AC at E. BD and circle O1 of diameter AB intersect at F. Circle O and circumcircle O2 of triangle CEF intersect at H. If M is the midpoint of AC, prove that angle MHC = 90 degrees.
 

Infographic Geometry problem 1125 Triangle, Four Equilateral Triangles, Centroid, Midpoint
 




 

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Last updated: Jul 4, 2015 by Antonio Gutierrez.