In a special triangle formed by connecting points A, B, and C on a circle, each side is an integer length. The triangle has a perimeter of 25 units. If a red bead is placed at each vertex and a blue bead is placed at the midpoint of each side, find the probability that a randomly chosen set of three beads forms a triangle, assuming the triangle formed by the beads must have positive area.

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11-06-2024
Mathematics

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In a special triangle formed by connecting points A, B, and C on a circle, each side is an integer length. The triangle has a perimeter of 25 units. If a red bead is placed at each vertex and a blue bead is placed at the midpoint of each side, find the probability that a randomly chosen set of three beads forms a triangle, assuming the triangle formed by the beads must have positive area.

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