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An Excircle Inequality
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
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RELATED LINKS
Inequalities for an Exradius of a Triangle
(
Wolfram Demonstrations Project
)
An Inequality for Tripolar Coordinates Related to the Brocard Angle
(
Wolfram Demonstrations Project
)
Radical Circle of Three Circles
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Minh Trinh Xuan
"
An Excircle Inequality
"
http://demonstrations.wolfram.com/AnExcircleInequality/
Wolfram Demonstrations Project
Published: June 15, 2022
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