A Triangle Inequality Involving the Altitudes, Semiperimeter, Inradius, and Circumradius
Initializing live version
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
If a triangle has altitudes , , and , semiperimeter , inradius , and circumradius , then .
Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
This Demonstration is based on:
"Problem 11330," The American Mathematical Monthly, 114(10), 2007 p. 925.
Permanent Citation