In triangle ABC, the angle bisector of A and the exterior angle bisector of B meet at point D. From D, a perpendicular is drawn to BC, intersecting BC at E and the circumscribed circle with center O at F, where E is the midpoint of DF. Given that BC measures 12 units, the task is to find OC.

In triangle's heart,

Angles and bisectors meet,

D, the sacred point.

From O's center, truth we seek,

OC's length, math's mystique.

In the context of geometric art, a conformal map refers to a type of artistic representation or transformation that preserves angles between shapes, lines, or patterns. It involves mapping one geometric arrangement onto another while maintaining the relative angles between the elements.

Geometric artists often use conformal maps to create visually interesting and aesthetically pleasing artworks. These maps can distort shapes, but they do so while keeping the angles between lines or curves constant. This can lead to intricate and visually captivating designs that may appear intricate or surreal.

Geometry Problems

Open Problems

Visual Index

All Problems

Angles

Triangle

Circle

Angle Bisector

Excenter

Circumcircle

Perpendicular lines

Midpoint

Perpendicular
Bisector

Congruence

Right Triangle 30-60

Special Right Triangle

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