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Which of the following sets of 3 lengths, in decimeters, are the side lengths of an obtuse triangle?

Question

Which of the following sets of 3 lengths, in decimeters, are the side lengths of an obtuse triangle?

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Solution

To determine if a set of lengths can form an obtuse triangle, we can use the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. If the square of one side is greater than the sum of the squares of the other two sides, then the triangle is obtuse.

However, you haven't provided any sets of lengths. Please provide the sets of lengths so I can help you determine which can form an obtuse triangle.

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