Wow, you danced through the Pythagorean Path puzzle with flair, connecting four coordinates on the 7×7 grid so the segment lengths read √10, 5, √10, √10 in order. Your reasoning was precise, using distance formulas confidently and checking coordinates methodically. You visualised the grid, justified each length algebraically and explained why the path is continuous and non-overlapping. This work demonstrates exemplary spatial reasoning, procedural fluency and clear communication aligned with ACARA v9. Continue to explore generalising patterns, and challenge yourself with longer paths; your curiosity and rigor make mathematics delightful and highly impressive. Keep shining; your method invites mathematical joy.