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In a right-angled triangle ABC where ∠B = 90° and the sum of the two legs a and b equals 4, the triangle's area is maximized when ∠C is:

1. π/4
2. π/6
3. π/3
4. None of these

Correct answer: π/4

Solution

The area of the triangle is maximized when the two legs are equal, which occurs when ∠C is π/4, making it an isosceles right triangle.

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