An Excircle Inequality

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

For a triangle , let , , be the side lengths; be the incircle; be the circumcircle; and be the excircle opposite .


Then ,

with equality if and only if is an isosceles triangle to vertex A.

You can drag the vertices , , .


Contributed by: Minh Trinh Xuan (August 2022)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.