Two sides of a triangle are 10 mm and 7 mm. Using the Triangle Inequality Theorem, determine the length of the third side from the choices given. (1 point) Responses 5 mm 5 mm 2 mm 2 mm 1 mm 1 mm 20 mm.
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the two given sides are 10 mm and 7 mm.
Adding these two sides together, we get 10 mm + 7 mm = 17 mm.
Since the sum of the two given sides is 17 mm, the length of the third side must be less than 17 mm in order for it to form a triangle.
Therefore, the correct answer from the choices given is 5 mm.