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# Geometry Problem 1305:

### Triangle, Circumcircle, Angle Bisector, Arc, Perpendicular, Area

The figure below shows a triangle ABC with the circumcircle of center O. The
bisector of the angle A cuts BC at D and the arc BC at E. If DH is
perpendicular to AC, prove that the area of the triangle AEH is half the
area of the triangle ABC. See also:
Art of Problem
1305, Typography using iPad Apps.

Geometry Problems

1301-1310

Visual Index

Open Problems

All Problems

Triangle

Circle

Circumcircle

Angle Bisector

Perpendicular lines

Triangle Area

View or Post a solution

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### Problem 1305 in Motion using Mobile Apps, iPad

Click on the figure below.