Geometry

Triangle Area (Heron)

Area from three side lengths.

Formula

Formula
A = √s(s−a)(s−b)(s−c), s = a+b+c2

Variables

SymbolDefinitionType & rangeUnitsRole
a, b, c side lengths real number (ℝ) — input
s semi-perimeter computed result — result

Try it yourself

Interactive calculator
Result
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Worked examples

Example 1
Givena = 3, b = 4, c = 5
Result6
Example 2
Givena = 7, b = 8, c = 9
Result26.83281573