Chapter 4, Problem 13P
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Single Variable Calculus: Early Tr...
8th Edition
James Stewart
ISBN: 9781305270343
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Section
BuyFindarrow_forward
Single Variable Calculus: Early Tr...
8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem
An isosceles triangle is circumscribed about the unit circle so that the equal sides meet at the point (0, a) on the y-axis (see the figure). Find the value of a that minimizes the lengths of the equal sides. (You may be surprised that the result does not give an equilateral triangle.).
To determine
To find: The value of a for which the length of the equal sides is minimum.
Explanation
In the given figure, name the triangle as triangle ABC and name the intersection point as T as shown below in Figure 1.
From Figure 1 observe that,
But from triangle ATC,
Compare the above two values and deduce that,
Differentiate AC with respect to a .
Set
Chapter 4 Solutions
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