?If one side of a triangle has length a and another has length \(2a\), show that the

Chapter 4, Problem 35

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QUESTION:

If one side of a triangle has length a and another has length \(2a\), show that the largest possible area of the triangle is \(a^{2}\).

Equation Transcription:

Text Transcription:

2a

a^2

Questions & Answers

QUESTION:

If one side of a triangle has length a and another has length \(2a\), show that the largest possible area of the triangle is \(a^{2}\).

Equation Transcription:

Text Transcription:

2a

a^2

ANSWER:

Step 1 of 2

Area of a triangle  (Product of sides) (sine of the angle included between those sides)

Assume that the angle included between the two equal sides is .

Where the domain of  is

To find the critical numbers, we will differentiate

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