Law of Cosines Calculator

Calculates unknown sides of a triangle when provided with two known sides and the angle included between them, utilizing the mathematical relationship defined by the Law of Cosines. The tool accepts numerical inputs for the three required values and computes the missing length based on the formula $c^2 = a^2 + b^2 - 2ab \cos(C)$, providing a precise measurement to help solve complex geometric problems. Students studying trigonometry, engineers designing structures, and physics majors analyzing force vectors benefit from this resource. It offers a reliable way to verify calculations or solve practical scenarios where standard right-triangle formulas are insufficient. Users can quickly obtain accurate side lengths needed for further mathematical analysis or academic coursework in geometry and precalculus.