To determine the length of the third side of the triangle, we can use 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.
In this case, the two given sides are 10 mm and 7 mm. Let's denote the length of the third side as x.
Applying the triangle inequality theorem:
10 mm + 7 mm > x
17 mm > x
Therefore, the length of the third side (x) must be less than 17 mm, so the only appropriate choice from the given options is 2 mm.
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
2 mm
1 mm
20 mm
5 mm
1 answer