Two sides of a triangle measure 14 inches and 8 inches. which cannot be the length of the remaining side?

(1) Answers

1. The "triangle inequality" states that any of the sides of the triangle, is larger than the difference of the other 2 sides (the larger minus the smaller), and it is smaller than the sum of them. 2. So the third side of this triangle must be larger than 14-8=6 (in) and smaller than 14+8=22 (in) 3. So let a denote the remaining side, then   6 < a < 22, which means a can be any number in between 6 and 22 inches.

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