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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.2 Maximum and Minimum Problems, #64 · Calculus · Optimization

A triangle has corners …, and … on the parabola

A triangle has corners $(- 1, 1), (x, x^{2})$ , and $(3, 9)$ on the parabola $y = x^{2}$ . Find its maximum area for $x$ between $- 1$ and $3$ . Hint: The distance from $(X, Y)$ to the line $y = m x + b$ is $∣ Y - m X - b ∣/ 1 + m^{2}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.2 Maximum and Minimum Problems, #64

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