Two sides of a triangle are 10 mm and 7 mm. Using the Triangle Inequality Theorem (see picture above), determine the length of the third side from the choices given.
(1 point)
Responses

3 mm
3 mm

5 mm
5 mm

1 mm
1 mm

2 mm
2 mm
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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 sides are 10 mm and 7 mm.
So, the length of the third side must be greater than 10 - 7 = 3 mm and less than 10 + 7 = 17 mm.
Therefore, the length of the third side must be 3 mm.
So, the correct answer is: 3 mm.