###

# 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

Visual Index

Open Problems

All Problems

Triangle

Circle

Circumcircle

Angle Bisector

Perpendicular lines

Triangle Area

View or Post a solution

###

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

Click on the figure below.