Do Large Language Models Truly Understand Geometric Structures?

Geometric Structure Question Corresponding Geometric Relationships Geometric Structure Description with Natural Language： For triangle ABC, G is its incenter. From point G, perpendiculars are drawn to the three sides. GD is perpendicular to AC, GF is perpendicular to BC, and GE is perpendicular to AB. The length of CG is 13, and the length of CF is 12.