Difference between revisions of "Heron's Formula"

 
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Sometimes called "hero's formula", it states that for any triangle with side lengths a, b, and c,
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'''Heron's formula''' (sometimes called Hero's formula) is a method for finding the [[area]] of a [[triangle]] given only the three side lengths.
  
<math>A=\sqrt{s(s-a)(s-b)(s-c)}</math>
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=== Definition ===
where
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<math>s=\frac{a+b+c}{2}</math>
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For any triangle with side lengths <math>{a}, {b}, {c}</math>, the area <math>{K}</math> can be found using the following formula:
and
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A=area
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<math>K=\sqrt{s(s-a)(s-b)(s-c)}</math>
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where the [[semiperimeter]] <math>s=\frac{a+b+c}{2}</math>.
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=== See Also ===
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* [[Brahmagupta's Formula]]

Revision as of 13:51, 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 semiperimeter $s=\frac{a+b+c}{2}$.

See Also

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