
Brahmagupta's Formula Rsources

Definition
Brahmagupta's formula gives the area of a general quadrilateral given the lengths of its sides and two angles.
In its basic form, Brahmagupta's formula gives the area of a cyclic quadrilateral (inscribed in a circle) whose side lengths are: a, b, c, d:
where s is the semiperimeter:
Background Information
 Brahmagupta's formula  MathWorld [View Resource]
 Brahmagupta's formula  Wikipedia [View Resource]
 Who Was Brahmagupta?  Full MacTutor biography [View Resource]
 Proof of Brahmagupta's formula  PlanetMath [View Resource]
 Brahmagupta's Formula Proof [View Resource]
 Brahmagupta's Formula [View Resource]
 Brahmagupta’s formula for area of a cyclic quadrilateral [View Resource]
 Hero’s and Brahmagupta’s Formulas [View Resource]
K12 Lesson Plans and Science Fair Projects
 Triangular Discoveries: A Look into Heron's Formula and Beyond [View Resource]
 The Quadratic Formula Explained [View Resource]
 Investigate whether it's possible to expand Hero’s Theorem and Brahmagupta’s Formula to find the area of any convex pentagon/hexagon [View Resource]
Articles and Studies
 A Proof of the Pythagorean Theorem From Heron's Formula [View Resource]
 Heron, Brahmagupta, Pythagoras, and the Law of Cosines Expository Paper [View Resource]
 Mechanical Formula Derivation in Elementary Geometries [View Resource]
 Cyclic Polygons with Rational Sides and Area [View Resource]
 Relationship Between Shadow Length and Time of Day [View Resource]
Theses and Dissertations
 Some congruence properties of Pell’s equation [View Resource]
 Solvability of polynomial equations over finite fields  DIMACS [View Resource]
See also:
 Heron's Formula [View Resource]

