Sums of Squares of the Side Lengths and Various Radii of a Triangle

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 lengths of the sides opposite the vertices , , ; be the incircle; be the circumcircle; and , , be the excircles opposite , , .


Then .

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.