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Geometry Problem 999. Right Triangle, Midpoint, Median, Double Angle, Congruence. Level: School, College.

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The figure below shows a right triangle ABC, with D on AB and E midpoint of CD. If angle ACD = angle DAE = 2 angle BCD, find the measure of angle BCD. Only elementary geometry is allowed (no trigonometry).
 

Geometry Problem 999: Right Triangle, Midpoint, Double Angle, Congruence

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery Art | 991-1000 | Triangles | Right Triangle | Midpoint | Median | Angles | Double Angle | Congruence | by Antonio Gutierrez

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