Brahmagupta's Theorem

BrahmaguptasTheorem

Brahmagupta's theorem states that in a cyclic quadrilateral having perpendicular diagonals , the perpendicular to each side through the diagonal intersection (the anticenter) bisects the opposite side (so , , , and are the midpoints of the corresponding sides of the quadrilateral).

See also

Anticenter, Cyclic Quadrilateral, Midpoint

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References

Honsberger, R. Episodes in Nineteenth and Twentieth Century Euclidean Geometry. Washington, DC: Math. Assoc. Amer., p. 37, 1995.

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Brahmagupta's Theorem

Cite this as:

Weisstein, Eric W. "Brahmagupta's Theorem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BrahmaguptasTheorem.html

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