Difference between revisions of "Bretschneider's formula"
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| − | Suppose we have a [[quadrilateral]] with | + | Suppose we have a [[quadrilateral]] with [[side]]s of length <math>a,b,c,d</math> and [[diagonal]]s of length <math>p, q</math>. '''Bretschneider's formula''' states that the [[area]] |
<math>[ABCD]=\frac{1}{4}*\sqrt{4p^2q^2-(b^2+d^2-a^2-c^2)^2}</math>. | <math>[ABCD]=\frac{1}{4}*\sqrt{4p^2q^2-(b^2+d^2-a^2-c^2)^2}</math>. | ||
| − | It can be derived with [[vector]] geometry. | + | It can be derived with [[vector]] [[geometry]]. |
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| + | ==See Also== | ||
| + | * [[Brahmagupta's formula]] | ||
and 
. Bretschneider's formula states that the ![$[ABCD]=\frac{1}{4}*\sqrt{4p^2q^2-(b^2+d^2-a^2-c^2)^2}$](http://latex.artofproblemsolving.com/7/5/9/7596249e635c730943d0f5493ab8e0d9f2399293.png)
.
