﻿ Brahmagupta's Formula: Lesson Plans, Articles, Studies and Background Information
Brahmagupta's Formula
Lesson Plans, Articles, Studies and Background Information
For Lesson Plans, Class Activities & Science Fair Projects

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]

### K-12 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]

• Heron's Formula [View Resource]