Final answer:
The correct setup to determine if 44, 46, 91 can form a triangle is by using the triangle inequality theorem, specifically A. 44 + 46 > 91. However, the sum of the two smaller sides (90) is not greater than the longest side (91), thus these lengths cannot form a triangle.
Step-by-step explanation:
To determine if 44, 46, 91 can be the sides of a triangle, you use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Hence, we need to check if the sum of the two shorter sides is greater than the longest side.
The correct setup to determine if these three numbers can form a triangle is A. 44 + 46 > 91. This is because you add the two smaller numbers (44 and 46) and compare the sum to the largest number (91) to see if the sum is greater.
If this inequality is true, then the three lengths can form a triangle. In this case, 44 + 46 equals 90, which is not greater than 91. Therefore, based on the triangle inequality theorem, 44, 46, and 91 cannot be the lengths of the sides of a triangle.
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