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 20 mm 20 mm 2 mm 2 mm 1 mm 1 mm 5 mm

1 answer

We can use the triangle inequality theorem to determine the possible lengths of the third side. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides are 10 mm and 7 mm, the third side must satisfy the following inequality:
5 < x < 17

Of the given choices, only 5 mm falls within this range. Therefore, the length of the third side must be 5 mm.