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LESSON 1 · Geometry Around You

Three Sides of Stability

A triangle is the simplest polygon — three sides, three angles, always adding to 180°. But its real superpower is rigidity. Push on a square and it collapses into a parallelogram. Push on a triangle and nothing moves. The triangle is structurally immovable.

This is why bridges, roof trusses, and crane arms are built from triangles. Engineers call this triangulation — reinforcing a structure by dividing it into triangular sections. The Eiffel Tower is built from over 18,000 iron pieces, and its lattice frame is a forest of triangles bracing the whole tower against wind.