Difference between revisions of "Bretschneider's formula"
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It can be derived with [[vector]] [[geometry]]. | It can be derived with [[vector]] [[geometry]]. | ||
| − | == | + | ==Proof== |
| − | + | ''This article needs a proof. Please help us out by [http://www.artofproblemsolving.com/Wiki/index.php?title=Bretschneider%27s_formula&action=edit adding one]''. | |
==See Also== | ==See Also== | ||
* [[Brahmagupta's formula]] | * [[Brahmagupta's formula]] | ||
* [[Geometry]] | * [[Geometry]] | ||
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| + | {{stub}} | ||
| + | [[Category:Geometry]] | ||
| + | [[Category:Theorems]] | ||
Revision as of 17:04, 7 October 2007
Suppose we have a quadrilateral with edges of length 
(in that order) and diagonals of length 
. Bretschneider's formula states that the area
![$[ABCD]=\frac{1}{4}*\sqrt{4p^2q^2-(b^2+d^2-a^2-c^2)^2}$](http://latex.artofproblemsolving.com/7/5/9/7596249e635c730943d0f5493ab8e0d9f2399293.png)
.
It can be derived with vector geometry.
Proof
This article needs a proof. Please help us out by adding one.
See Also
This article is a stub. Help us out by expanding it.
