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OpenStudy (anonymous):
An angle bisector of a triangle divides the opposite side of the triangle into segments 5 cm and 3 cm long. A second side of the triangle is 7.5 cm long. Find all possible lengths for the third side of the triangle. (Hint: draw a picture of the triangle, label one side with 7.5 cm, and solve for the other side. Then, move the 7.5 cm to the other side and solve.)
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