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 5 mm 5 mm 2 mm 2 mm 1 mm 1 mm 20 mm
By 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.
In this case, the length of the third side must be greater than the absolute difference between the two given sides: |10 - 7| = 3 mm.
Therefore, the only valid answer from the choices given is 5 mm.