Difference between revisions of "Heron's Formula"

Revision as of 12:51, 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.

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 $s=\frac{a+b+c}{2}$ .

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