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 Brahmagupta's Theorem: Cyclic quadrilateral. Level: High School, SAT Prep, College geometry

Brahmagupta's theorem states that if a cyclic quadrilateral ABCD has perpendicular diagonals, then the perpendicular to a side from the point of intersection of the diagonals always bisects the opposite side.

 

Brahmagupta Theorem

 

Brahmagupta (598–668) was an Indian mathematician and astronomer who discovered a neat formula for the area of a cyclic quadrilateral.
 
See also: Corollary, Area Formula, Area Formula Extension, .
 
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