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Two Triangles Theorem

Mathober 2026 Day 29 had a theorem I'd never heard of. Pick 3 points on a parabola, the triangle formed by them has a strong relationship to the triangle formed by the intersections of their tangent lines. What?! a, h and k control the parabola. You should be able to zoom in and out and pan to find A, B and C if you change the curve.