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The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side. |
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Answer» Solution: Then the longest side of a triangle is 3x and the third side is 3x – 2. Perimeter of the triangle ≥ 61 x + 3x + 3x – 2 ≥ 61 7x – 2 ≥ 61 7x ≥ 61 + 2 7x ≥ 63 x ≥ 9 Thus, 9 cm is the required minimum length of the shortest side. |
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