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Heron's Formula

 

area of a Heron's formula

\( A \;=\; \sqrt { s\cdot (s-a) \cdot (s-b) \cdot (s-c) } \)

\( s \;\equiv\; \dfrac{1}{2} \cdot (a+b+c) \)     (Semiperimeter)

herons formula

  • When given three sides of a triangle \(\; a,\ b, \ c\).
  • Semiperimeter is one half of the perimeter.

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Perimeter of a Heron's formula

\( p \;=\; a+b+c \)

\( s \;\equiv\; \dfrac{1}{2}\cdot p \)     (Semiperimeter)