Two sides of a triangle measure 16 inches and 10 inches. Which CANNOT be
the length of the remaining side?
A 6 in.
B 8 in.
C 14 in.
D 21 in

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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