# Pythagoras Equation Solver (pythagorasequationsolver.com)
> The precision computational geometry suite and educational reference for the Pythagorean Theorem (a² + b² = c²).

## Core Capabilities
- Master Right Triangle Solver: Solves missing sides, angles, exact radicals, area, perimeter, altitude, inradius, and circumradius for any two given parameters.
- Exact Radical Simplifier: Simplifies square roots into exact radical form (e.g. √50 = 5√2) alongside high-precision decimal outputs.
- Pythagorean Triples Finder: Verifies integer right triangles (a² + b² = c²), tests for primality (gcd = 1), and generates infinite primitive triples using Euclid's formula.
- 3D Space Diagonal Calculator: Solves interior space diagonals for boxes, rooms, and 3D coordinate space via D = √(x² + y² + z²).
- 2D Cartesian Distance Formula: Solves Euclidean point-to-point distances via d = √((x₂ - x₁)² + (y₂ - y₁)²).
- Converse of Pythagorean Theorem: Tests whether three given lengths form a right triangle (a² + b² = c²), acute triangle (a² + b² > c²), or obtuse triangle (a² + b² < c²).

## Primary Documentation & Educational Guides
- Homepage & Interactive Master Solver: https://pythagorasequationsolver.com/
- 4 Proofs of the Pythagorean Theorem: https://pythagorasequationsolver.com/blog/proofs-of-pythagorean-theorem/
- The Complete Guide to Pythagorean Triples: https://pythagorasequationsolver.com/blog/pythagorean-triples-complete-guide/
- 10 Real-World Applications: https://pythagorasequationsolver.com/blog/real-world-applications-pythagoras/
- 3D Pythagorean Theorem Explained: https://pythagorasequationsolver.com/blog/3d-pythagorean-theorem-explained/
- Converse of the Pythagorean Theorem: https://pythagorasequationsolver.com/blog/converse-of-pythagorean-theorem/
- Special Right Triangles (30-60-90 & 45-45-90): https://pythagorasequationsolver.com/blog/special-right-triangles-30-60-90-45-45-90/
- About Us: https://pythagorasequationsolver.com/about-us/
- Contact Support: https://pythagorasequationsolver.com/contact-us/