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.
So in this case, the sum of the lengths of the two known sides (10 mm and 7 mm) must be greater than the length of the unknown side.
10 mm + 7 mm = 17 mm
Therefore, the length of the third side must be less than 17 mm.
From the given choices, the only length that fulfills this condition is 5 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)
1 mm
5 mm
20 mm
2 mm
1 answer