The Triangle-to-Quadratic Method: A Geometric Reconstruction

This paper documents a geometric and algebraic method that the author reports independently developing and using while attending Cedar Ridge High School in Arkansas, before graduating in 2009. The method represents triangles through congruent geometric transformations, establishes relationships between side lengths and area, and constructs quadratic equations to recover unknown dimensions. Trigonometric relationships and angle identities are subsequently used to recover angular measurements. The original procedure was reconstructed in November 2026 after approximately seventeen years. The work is presented as an independent mathematical derivation and educational exposition, without claiming priority over previously published mathematical identities.