Disappearing triangle An equilateral triangle initially has sidesof length 20 ft when each vertex moves toward the midpoint ofthe opposite side at a rate of 1.5 ft/min. Assuming the triangleremains equilateral, what is the rate of change of the area of thetriangle at the instant the triangle disappears?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Disappearing triangle An equilateral triangle initially has sides
of length 20 ft when each vertex moves toward the midpoint of
the opposite side at a rate of 1.5 ft/min. Assuming the triangle
remains equilateral, what is the rate of change of the area of the
triangle at the instant the triangle disappears?

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