Samsun-Turkey Equations: Right Triangles, Orthocenter, and Area

①This GeoGebra example demonstrates a geometric construction related to Samsun, Turkey, featuring right triangles, the orthocenter, and area calculations using vectors and surfaces. ②Core mathematical concepts include properties of right triangles, the orthocenter (intersection of altitudes), two-dimensional vector operations, and polygon area computation. ③Construction highlights: based on the summary, objects f (possibly a function or curve), a (possibly a side length or vector), and list1 (a list of points or objects) are used with GeoGebra commands to build the geometry and compute areas. ④Suitable for high school or early college students to explore orthocenter theorems, vector decomposition, and area formulas, also serving as a cross-cultural integration of geography and mathematics.