SOLUTION: the lengths of two sides of a triangle are 13 and 8. the length of the 3rd side must be greater than what but less than what?

Question 547125: the lengths of two sides of a triangle are 13 and 8. the length of the 3rd side must be greater than what but less than what?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The length of the 3rd side must be greater than 13-8=5. As you make the angle between the sides with lengths 8 and 13 smaller and smaller, the length of the third side gets closer and closer to 5, but if it were 5, the angle measure would be zero. The three "vertices" would be colinear, and it would not be a triangle. It would be two segments of lengths 5 and 8, on top of a segment of length 13.
The length of the 3rd side must be less than 13+8=21. As you make the angle between the sides with lengths 8 and 13 wider and wider, the length of the third side gets closer and closer to 21, but if it were 21, the angle would be 180 degrees. The three "vertices" would be colinear, and it would not be a triangle. It would be two segments of lengths 13 and 8, on top of a segment of length 21.
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