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Heron's formula

In geometry, Heron's formula (or Hero's formula) gives the area of a triangle in terms of the three side lengths ⁠ a , {\displaystyle a,} ⁠ ⁠ b , {\displaystyle b,} ⁠ ⁠ c . {\displaystyle c.} ⁠ Letting ⁠ s {\displaystyle s} ⁠ be the semiperimeter of the triangle, ⁠ s = 1 2 ( a + b + c ) {\displaystyle s={\tfrac {1}{2}}(a+b+c)} ⁠, the area ⁠ A…

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Example

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Numerical stability

Similar triangle-area formulae

Generalizations

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Heron's formula

Nodes63
Edges62
Triples42
Avg. degree1.97
Density0.031746
Components1

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Heron's formula

Top relations

related to External links · 11
Heron's formula → Brahmagupta's Generalization, Conway, Formula, Geometric Proof, Heron, Heron's Formula Archived, Heron's FormulaJ, MathPages, Proof, Pythagorean Theorem From Heron's, Wayback MachineAn
related to Example · 9
Heron's formula → ABC, As, Euclidean, Heron's, Heronian, However, In, Let, This
related to Degenerate and imaginary triangles · 6
Heron's formula → Euclidean, For, Heron's, If, In, This
related to Proofs · 4
Heron's formula → Brahmagupta's, De Gua's, Heron's, There
related to Generalizations · 3
Heron's formula → Brahmagupta's, Bretschneider's, Heron's
related to Numerical stability · 3
Heron's formula → Heron's, Such, The
related to Similar triangle-area formulae · 3
Heron's formula → First, Heron's, Three
related to Alternative expressions · 2
Heron's formula → After, Heron's

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Important terminology

displaystyle formula triangle heron's area sqrt tfrac lengths s-a s-b s-c sides frac semiperimeter begin end side three aligned one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
when using floating-point arithmeticinstance ofcausing round-off error when computing with limited precision0.80text
Heron's formularelated to Alternative expressionsHeron's0.60section
Heron's formularelated to Alternative expressionsAfter0.60section
Heron's formularelated to Degenerate and imaginary trianglesIf0.60section
Heron's formularelated to Degenerate and imaginary trianglesIn0.60section
Heron's formularelated to Degenerate and imaginary trianglesHeron's0.60section
Heron's formularelated to Degenerate and imaginary trianglesEuclidean0.60section
Heron's formularelated to Degenerate and imaginary trianglesFor0.60section
Heron's formularelated to Degenerate and imaginary trianglesThis0.60section
Heron's formularelated to ExampleLet0.60section
Heron's formularelated to ExampleABC0.60section
Heron's formularelated to ExampleThis0.60section

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