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?If one side of a triangle has length a and another has length \(2a\), show that the
Chapter 4, Problem 35(choose chapter or problem)
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