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Can a scalene triangle be obtuse? Is an equilateral triangle always acute?

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A square and an equilateral triangle have the same perimeter. If the area of the triangle is \(16 \sqrt{3}\), what is the area of the square?

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If the sides of a non-degenerate triangle are \(a,b,\sqrt{a^2+b^2+ab} \), then find the measure of the greatest interior angle of this triangle (in degrees).

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**5 units** and **16 units**. What is the perimeter of the triangle (in units)?

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