Steiner-Lehmus Theorem

From ProofWiki
Jump to: navigation, search

Theorem

Let $ABC$ be a triangle.

Denote the lengths of the angle bisectors through the vertices $A$ and $B$ by $\omega_\alpha$ and $\omega_\beta$.

Let $\omega_\alpha = \omega_\beta$.


Then $ABC$ is an isosceles triangle.


Proof


Source of Name

This entry was named for Jakob Steiner and Daniel Christian Ludolph Lehmus.