PERPENDICULAR DISTANCE THEORY

A novel side-length based determinant, the Perpendicular Distance Determinant (PDD), is introduced for the analysis of triangle geometry. This determinant enables a new classification of altitudes and the derivation of a unique area formula, providing insights into the fundamental properties of triangles. DO NOTE THAT SUBSEQUENT PAPERS APPLICATIONS OF PDD 1,2 AND DEEPER ANALYSIS OF PDD ARE DERIVED WHEN THE DENOMINATOR IS OF SIDE LENGTH <code>d</code> IN THE PDD FORMULA.<br><br><b>IF ANY JOURNAL IS INTERESTED, PLEASE CONTACT ME. </b>