A triangle has side lengths 4ft, 12ft, and 13ft. Is the triangle acute, obtuse, or right?

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To determine if a triangle is acute, obtuse, or right, we need to check if the sum of the squares of the two smaller sides is greater than, equal to, or less than the square of the largest side.

In this case, the sides are 4ft, 12ft, and 13ft.

4^2 + 12^2 = 160
13^2 = 169

Since 160 < 169, the sum of the squares of the two smaller sides is less than the square of the largest side. Therefore, the triangle is obtuse.