Two sides of a triangle are 10 mm and 7 mm. Using the Triangle Inequality Theorem, determine the length of the third side from the choices given. (1 point) Responses 5 mm 2 mm 1 mm 20 mm
To use the Triangle Inequality Theorem, the length of the third side must be greater than the difference between the lengths of the other two sides, and less than the sum of the lengths of the other two sides.
In this case, the length of the third side must be greater than |10 mm - 7 mm| = 3 mm, and less than 10 mm + 7 mm = 17 mm.
Among the given choices, only 5 mm is within this range. Therefore, the length of the third side is 5 mm.