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Joanna has four straws of different lengths. The table displays the lengths of the straws (A, B, C, D) as 7, 9, 3, and 10 inches. Joanna aims to create as many triangles as possible using combinations of three of these straws. By applying the triangle inequality theorem, which dictates that the sum of any two sides of a triangle must be greater than the length of the third side, we can determine the viable combinations. After sorting the straws in ascending order (C: 3 inches, A: 7 inches, B: 9 inches, D: 10 inches), we find that Joanna can form 2 different triangles: using straws C, A, and B or straws A, B, and D.
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Joanna has four straws with lengths of 7, 9, 3, and 10 inches. By applying the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the length of the third side, Joanna aims to create as many triangles as possible using combinations of three of these straws. After sorting the straws in ascending order (3, 7, 9, 10 inches), we find that Joanna can form 2 different triangles: using straws with lengths 3, 7, and 9 inches or 7, 9, and 10 inches.