In trigonometry, Mollweide's formula, sometimes referred to in older texts as Mollweide's equations,^{[1]} named after Karl Mollweide, is a set of two relationships between sides and angles in a triangle.^{[2]}
Let a, b, and c be the lengths of the three sides of a triangle. Let α, β, and γ be the measures of the angles opposite those three sides respectively. Mollweide's formula states that
and
Each of these identities uses all six parts of the triangle—the three angles and the lengths of the three sides.
Mollweide's formula can be used to check solutions of triangles.^{[3]}
