Pedoe's inequality Guide, Meaning , Facts, Information and Description
In
geometry,
Pedoe's inequality states that if
a,
b, and
c are the lengths of the sides of a
triangle with area
f, and
A,
B, and
C are the lengths of the sides of a triangle with area
F, then
with equality if and only if the two triangles are
similar.
References
- "A Two-Triangle Inequality", D. Pedoe, The American Mathematical Monthly, volume 70, number 9, page 1012, November, 1963.
- "An Inequality for Two Triangles", D. Pedoe, Proceedings of the Cambridge Philosophical Society, volume 38, part 4, page 397, 1943.
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