Inequalities for an Exradius of a Triangle
Inequalities for an Exradius of a Triangle
Let be the exradius of triangle for the excircle opposite , and let and be the circumradius and inradius of .
r
A
ABC
A
R
r
ABC
Then ,
2R-r-2≤2R-r+2
R(R-2r)
≤r
A
R(R-2r)
and similarly for and , the other two exradii.
r
B
r
C
You can drag the points.
External Links
External Links
Permanent Citation
Permanent Citation
Minh Trinh Xuan
"Inequalities for an Exradius of a Triangle"
http://demonstrations.wolfram.com/InequalitiesForAnExradiusOfATriangle/
Wolfram Demonstrations Project
Published: May 27, 2022