To find the length of the third side of the triangle, we can use the triangle inequality theorem which states that the sum of any two sides of a triangle must be greater than the length of the third side.
So, in this case, the third side must be less than the sum of the first two sides but greater than the difference of the first two sides.
The third side must be greater than |10-12| = 2 and less than 10 + 12 = 22.
Therefore, the length of the third side of the triangle can be any value between 2 and 22.
Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 12.
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