Taxicab Distance Triangles

This example demonstrates how to create equilateral, isosceles, and scalene triangles using the Manhattan distance metric. Key math concepts include taxicab geometry, geometric construction, and triangle classification. The construction utilizes GeoGebra commands like Polygon with points A, B, C, and auxiliary objects t1, c, a, b, a_t, b_t, c_t, along with text elements text1, text2, text3. It is suitable for middle school and above students to explore geometric properties under different distance measures and develop spatial reasoning skills.