Two sides of a triangle are 10 mm and 7 mm. Determine the length of the third side from the choices given.(1 point)
Responses
2 mm
2 mm
5 mm
5 mm
1 mm
1 mm
20 mm
From the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, the length of the third side must be between 3 mm and 17 mm (10 mm + 7 mm = 17 mm, 10 mm - 7 mm = 3 mm).
So, the correct answer is 5 mm.