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Problem 378. Triangle, Incenter, Parallel to a side, Angle, Congruence.
Level: High School, College, SAT Prep.

The figure shows a triangle ABC with the incenter I (point of intersection of all the internal angle bisectors). If line DIE is parallel to BC, prove that DE = BD + CE.
 

Triangle, Incenter, Parallel


 

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Triangle, Excenter, Parallel

Proposed Problem 379.
Triangle, Excenter, Parallel to a side, Angle, Congruence.
 

Triangle, Altitude, Angle bisector

Proposed Problem 377.
Triangle, Internal Angle Bisector, Altitude.
 

Triangle, Excenter, Internal and External angle bisector,

Proposed Problem 376.
Triangle, Excenter, Internal and External Angle Bisectors.
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