Triangle Solver

Solve any triangle given three sides using Heron's formula for area and the law of cosines for angles. This comprehensive triangle solver validates the triangle inequality, calculates area using Heron's formula, finds all three angles using the law of cosines, and computes the perimeter. Heron's formula is elegant because it requires only the three side lengths—no height measurement needed. The law of cosines generalizes the Pythagorean theorem to all triangles. These formulas are essential in surveying, navigation, engineering, and architecture where triangulation is used to determine distances and positions.