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If the two equal sides of an isosceles triangle have length $ a $, find the length of the third side that maximizes the area of the triangle.

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03:31

Wen Zheng

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 7

Optimization Problems

Derivatives

Differentiation

Volume

Campbell University

Oregon State University

Harvey Mudd College

Lectures

04:35

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

06:14

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

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If the two equal sides of …

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Maximizing the Area of a T…

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Geometry Express the area …

Okay. The first thing we know is that if science ada is h over A than H is a sign data telling us that B is to a co signed data. Remember, area is 1/2 be a trait for a triangle. So 1/2 a sign beta times to a co signed data which gives us 1/2 a squared signed to theta. Okay, we know that sign to theta is one. Therefore, the data is pi over four. Because this is true. When two pies pie over to therefore dividing it again, we have pi over four is data and remember be is to a co sign day Asako san power for would be squared of two over too, giving us be a squirt of two, okay?

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