Two sides of a triangle are 10 mm and 7 mm. Determine the length of the third side from the choices given.(1 point)
5 mm
2 mm
1 mm
20 mm
To determine the length of the third side of the triangle, we need to use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that the two sides of the triangle are 10 mm and 7 mm, let x represent the length of the third side. We know that 10 + 7 > x, so 17 > x.
Therefore, the length of the third side must be less than 17 mm. From the choices given, the only option that is less than 17 mm is 5 mm. Therefore, the length of the third side is 5 mm.
The correct answer is: 5 mm