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


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


Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 1121-1130 | Triangle | Midpoint | Circumcircle | Circle | Tangent Line | 90 Degrees | Email | Solution / comment.
Last updated: Jul 4, 2015 by Antonio Gutierrez.