Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 2

Answer 1

To determine the length of the third side of a triangle, we need to apply the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

Let's apply this theorem to the given lengths of 10 and 2:

10 + 2 > third side
12 > third side

So, the length of the third side must be greater than 12.

Since no choices are provided, we cannot determine the exact length of the third side.