A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the other two vertices (B and C) lie in the parabola 16y = 160 - x2. Find the maximum area of the triangle if side containing the vertices B and C is parallel to the x-axis.
A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the other two vertices (B and C) lie in the parabola 16y = 160 - x2. Find the maximum area of the triangle if side containing the vertices B and C is parallel to the x-axis.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 31E
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A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the other two vertices (B and C) lie in the parabola 16y = 160 - x2. Find the maximum area of the triangle if side containing the vertices B and C is parallel to the x-axis.
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