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 1 mm 1 mm 2 mm 2 mm 5 mm
To determine the length of the third side, we can use the triangle inequality theorem. According to this 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 two given sides are 10 mm and 7 mm. Therefore, the length of the third side must be greater than 10 - 7 mm and less than 10 + 7 mm.
10 - 7 = 3 mm
10 + 7 = 17 mm
So, the length of the third side must be greater than 3 mm and less than 17 mm.
From the choices given, the only length that falls within this range is 5 mm. Therefore, the length of the third side is 5 mm.