Difference between revisions of "Heron's Formula"

m (Fixed link to Brahmagupta)
m (Changed semiperimeter to semi-perimeter for consistancy)
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<math>K=\sqrt{s(s-a)(s-b)(s-c)}</math>
 
<math>K=\sqrt{s(s-a)(s-b)(s-c)}</math>
  
where the [[semiperimeter]] <math>s=\frac{a+b+c}{2}</math>.
+
where the [[semi-perimeter]] <math>s=\frac{a+b+c}{2}</math>.
  
 
=== See Also ===
 
=== See Also ===
  
 
* [[Brahmagupta's formula]]
 
* [[Brahmagupta's formula]]

Revision as of 19:24, 18 June 2006

Heron's formula (sometimes called Hero's formula) is a method for finding the area of a triangle given only the three side lengths.

Definition

For any triangle with side lengths ${a}, {b}, {c}$, the area ${K}$ can be found using the following formula:

$K=\sqrt{s(s-a)(s-b)(s-c)}$

where the semi-perimeter $s=\frac{a+b+c}{2}$.

See Also

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