Question

the length of two sides of a triangle are 4 cm and 6cm between what two measures should the length of the third side fall​

Answer 1

The length of the third side always depends on the sum and difference of the other two sides. Hence, the required length of the third side would lie between 10 cm and 2 cm.

Answer 2

The triangle inequality says that the sum of the two smaller sides must exceed the largest side to have a real triangle.

So here that means the remaining side is between 2 and 10.