What angle maximizes the area of the triangle below?

David Cordero asked Sep 23, 2022

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11 votes

David Cordero asked Sep 23, 2022

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16 votes

Answer:

90°

Explanation:

Area of triangle with sides a and b and included angle Θ:

A = (1/2)ab * sin Θ

dA/dx = (1/2)ab cos Θ

(1/2)ab cos Θ = 0

cos Θ = 0

Θ = 90°

DropAndTrap answered Sep 28, 2022

2.6k points

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