Question

What angle maximizes the area of the triangle below?

Answer 1

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°