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OpenStudy (anonymous):
Use the Triangle Inequality Theorem to decide whether a triangle can have sides with lengths 8, 13, and 21. No; 8 + 13 = 21 which is not greater than the third side length. No; 8 + 13 < 21, 13 + 21 < 8, and 8 + 21 < 13 Yes; The side lengths pass all three tests of the Triangle Inequality Theorem. Yes; 8 + 13 > 21, 13 + 21 > 8, and 8 + 21 > 13.
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