Two sides of a triangle are 10 mm and 7 mm using the triangle equality theorem determine the length of the third side of the choices given

Question

5 mm
2 mm
1 mm
20 mm

Answer 1

To determine the possible length of the third side, we can use the triangle equality 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.

So, for the given sides of 10 mm and 7 mm:
10 + 7 = 17 mm

This means that the length of the third side must be less than 17 mm. Therefore, the only option that satisfies this condition is 5 mm.