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
1 mm
1 mm
20 mm
20 mm
2 mm
2 mm
5 mm
To determine the length of the third side of the triangle, we can apply the triangle inequality theorem. 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 of the triangle are 10 mm and 7 mm, the sum of these two sides is 10 + 7 = 17 mm. Therefore, the length of the third side must be greater than 17 mm.
From the choices given, the only option that is greater than 17 mm is 20 mm.
Therefore, the length of the third side is 20 mm.