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
2 mm
1 mm
1 mm
5 mm
5 mm
20 mm
To determine the length of the third side of the triangle, you can use the triangle inequality theorem. This theorem states that 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.
The sum of these two sides is 10 + 7 = 17 mm.
Thus, the length of the third side must be greater than 17 mm.
None of the choices given (2 mm, 1 mm, 5 mm, 20 mm) are greater than 17 mm, so none of them are the correct length for the third side.