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.
A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.
Poincare disk model is a model of 2-dimensional hyperbolic geometry in which the points of the geometry are inside the unit disk, and the straight lines consist of all segments of circles contained within that disk that are orthogonal to the boundary of the disk, plus all diameters of the disk. Read more.
Click on the figure below.
Geometry Problems
1301-1310
Visual Index
Open Problems
All Problems
Triangle
Circle
Circumcircle
Angle Bisector
Perpendicular lines
Triangle Area
Art of Problem
1305, Typography using iPad Apps.
Geometric Transformation Art of Problem 1305.
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