equilateral triangle on a parabola @drpeyam
equilateral triangle on a parabola  @drpeyam
Uploaded March 2022 | Updated September 2026, 1 week ago
equilateral triangle on a parabola. Find two points on the parabola y = 1-x^2 such that the triangle formed by the x axis and going through those points is equilateral. It is a nice problem that combines calculus and geometry, more specifically tangent lines, intercepts, distances, and inscribed triangles. This was inspired by a instagram post by UC Irvine math.

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equilateral triangle on a parabola

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