A proof without words for angle bisectors of right triangles

Abstract

In this article, we state an interesting geometric conservation property between the three angle bisectors of three similar right triangles and provide a proof without words for its justification. A GeoGebra applet is also presented to help with the understanding of the progression of the proof from inductive to deductive stage.

KEYWORDS:

• Angle bisectors
• similar right triangles
• conservation properties
• proof without words

Disclosure statement

No potential conflict of interest was reported by the authors.