1.Previous
3.Next

in the interior of triangle ABC, then

:

For an acute triangle we have

:

with the reverse inequality holding for an obtuse triangle.

Furthermore, for non-obtuse triangles we have

:

with equality if and only if it is a right triangle with hypotenuse AC.

Area

Weitzenböck's inequality is, in terms of area T,

:

with equality only in the equilateral

1.Previous
3.Next