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 20 mm 20 mm 2 mm 2 mm 1 mm
According to 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.
In this case, the sum of the lengths of the two sides given (10 mm and 7 mm) is 17 mm, which is greater than the length of the third side.
Therefore, the length of the third side must be less than 17 mm. Given the options provided, the only valid choice is 5 mm, as it is less than 17 mm.