Final answer:
Applying the triangle inequality theorem to the lengths of the two sides (30 cm, 35 cm) of a triangle, we can conclude that the length of the third side should be between 5 cm and 65 cm.
Step-by-step explanation:
In mathematics, specifically in geometry, it is important to remember that the lengths of the sides of a triangle should adhere to the triangle inequality theorem. This theorem states: the length of any side of a triangle should be less than the sum of the lengths of the other two sides but more than the absolute difference of the lengths of the other two sides.
In this case, the lengths of two sides of the triangle are 30 cm and 35 cm. So, the length of the third side must be less than 30 + 35 = 65 cm (applying sum rule) and more than |30 - 35| = 5 cm (applying difference rule).
Hence, the length of the third side must lie between 5 cm and 65 cm.
Learn more about Triangle Inequality Theorem