Trichometry ©: The Study of the Geometrics of the 3-4-5-6 Golden Upright Right Triangle in Cartesian Coordinates is an informative book developed to explain in detail the innovative and in-depth mathematical operations involved in the Triological Science of Trichometry to create, explain, and model the internal and external dynamics of the 3-4-5-6 Golden Upright Right Triangle (or 3-4-5-6 GURT). Trichometry is the mathematical study of the geometrics of the 3-4-5-6 Golden Upright Right Triangle Model that is constructed from first quadrant Cartesian Coordinate mathematics. The Trichometry © book has been written in a manner that presents the geometrics in an explicative series of mathematical cyclical sequential formulae, descriptive Triostatistical models, step-by-step procedures, and explicative innovative in-depth terminology. This book has been designed to aid the reader in comprehending the unique Triological Sciences and their methodologies that will aid in the production of: conceptual models, problem-solving solutions, and innovative inventive inquiry.