The length of one side of the triangle is 9cm and the length of the other side is 6cm.

The length of one side of the triangle is 9cm and the length of the other side is 6cm. Estimate the length of the third side of the triangle.

To solve the problem, we apply a general mathematical rule, the fulfillment of which is required for the existence of any triangle. In accordance with the specified rule, the third of the sides of the triangle must not exceed the sum of the other two, while it must be a value greater than the difference between these sides. Let us introduce the following notation: x is the length of the required side of the triangle. Then:

1) x> (9 – 6);

x> 3.

2) x <(9 + 6);

x <15.

Thus, the third side of the triangle can be any value between the found values.