Linked from

The 28 pages that link to Heron's formula, each with the reason it gives.

• TriangleRelated: It calculates area without requiring a measured height or angle.

• Law of cosinesRelated: Together, the side lengths determine both angle information and area.

• CircumcircleRelated: Combined with the circumradius formula, its area determines the circle’s radius from side lengths.

• IncenterRelated: Combined with the semiperimeter, the area gives the inradius as area divided by semiperimeter.

• BrahmaguptaCompared with: Brahmagupta’s quadrilateral formula generalizes this area method to cyclic four-sided figures.

• IncircleRelated: Combined with area = inradius × semiperimeter, it computes the incircle’s radius from side lengths.

• Triangle areaRelated: It computes area when side lengths are known but no height is given.

• SemiperimeterRelated: It uses the semiperimeter to express area as √[s(s−a)(s−b)(s−c)].

• Angle bisector theoremRelated: The theorem's ratio can split a triangle into two areas whose ratio matches adjacent side lengths.

• Brahmagupta's formulaCompared with: Triangulating a quadrilateral gives a side-based method that does not require cyclicity.

• Euler's inequalityRelated: It can express the area term used to compare the two radii.

• Bretschneider's formulaRelated: Its semiperimeter structure reappears inside the quadrilateral formula's side-length term.

• Hero of AlexandriaRelated: The formula shows Hero’s work extended from machines to mathematical methods.

• Scalene triangleRelated: It calculates the area of a scalene triangle without requiring an angle measurement.

• Stewart's theoremRelated: It can provide area information that helps determine a cevian through Stewart’s identity.

• Weitzenböck's inequalityRelated: Substituting its area expression turns the inequality into an algebraic condition on the sides.

• Hadwiger–Finsler inequalityRelated: It converts the inequality’s area term into an expression involving only the three side lengths.

• Pedoe's inequalityRelated: It converts the areas in Pedoe's inequality into expressions involving the same side lengths.

• Pitot theoremRelated: The analogous tangential-polygon area formula uses the semiperimeter identified by Pitot’s equality.

• Barrow's inequalityRelated: It is a standard triangle metric result that complements distance-based inequalities.

• Conway circle theoremRelated: Its area expression helps convert tangent lengths into the inradius and exradii.

• De Gua's theoremCompared with: It computes triangular areas from side lengths, while the theorem links four face areas through perpendicularity.

• Equal Incircles TheoremRelated: Combined with the inradius-area relation, it expresses inradius using side lengths.

• Erdős–Anning theoremRelated: Integer side lengths constrain triangle areas, a useful arithmetic clue in distance arguments.

• Incenter–excenter lemmaRelated: Area and semiperimeter determine the inradius and exradii.

• Japanese theoremRelated: Combining area with semiperimeter expresses each triangle’s inradius using its sides.

• Japanese theorem for cyclic polygonsRelated: Together with the inradius-area identity, it relates each contribution to side lengths.

• Mollweide's formulaRelated: Both results connect side-length combinations to other triangle quantities.