Category:Broken Chord Theorem

This category contains pages concerning Broken Chord Theorem:

Let $A$ and $C$ be arbitrary points on a circle in the plane.

Let $M$ be a point on the circle with arc $AM = $ arc $MC$.

Let $B$ lie on the minor arc of $AM$.

Draw chords $AB$ and $BC$.

Find $D$ such that $MD \perp BC$.

Then:

$AB + BD = DC$