In a circle with center O and diameter AB, the inscribed quadrilateral ABCD has diagonals that intersect at E. The circumcircle of triangle BCE intersects OB at F. Given that AF is 16 and FB is 6, find the length of BG.

**Problem 1541**

Geometry's test,

Harmonic Quaternary guide,

BG length concealed.

Challenge embraced, insight unveiled,

Quadrilateral's secret revealed.

Geometry Problems

Open Problems

Visual Index

All Problems

Circle

Triangle

Diameter

Cyclic Quadrilateral

Circumcircle

Similarity

Ceva, Menelaus

View or Post a solution