John D. Cook 4/23/2026

Approximation to solve an oblique triangle

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This article presents an approximation method for calculating an angle in an oblique triangle without using inverse trigonometric functions, building on a previous approximation for right triangles. It explains the derivation, provides the formula using the semiperimeter, and compares it with the exact law of cosines method. A Python script demonstrates the accuracy, showing agreement to five decimal places. The content is technical and mathematical, focusing on computational geometry and numerical methods.

Approximation to solve an oblique triangle

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