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 Brahmagupta's Formula Extension: Any quadrilateral. Level: High School, SAT Prep, College geometry

 

If any quadrilateral ABCD has sides of lengths a, b, c, and d, and the semi-perimeter , then the area is given by:
 

Brahmagupta (598–668) was an Indian mathematician and astronomer who discovered a neat formula for the area of a cyclic quadrilateral.

 

 

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Last updated: April 20, 2007