Two sides of a triangle are 10 mm and 7 mm. Determine the length of the third side from the choices given.
Responses
5 mm
1 mm
20 mm
2 mm
The length of the third side is 2 mm.
This is determined using the triangle inequality theorem, which 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 sum of the two sides given (10 mm and 7 mm) is 17 mm, which is greater than the third side for it to be a valid triangle.