The measures of two sides of a triangle are 5.2 and 8.1. Determine the range of values for the third side of the triangle. answer

The third side of a triangle must be greater than the positive difference between the other two sides and less than the sum of the other two sides.

So, the range of values for the third side is:

8.1 - 5.2 < x < 8.1 + 5.2

2.9 < x < 13.3

Therefore, the third side of the triangle must be greater than 2.9 units and less than 13.3 units.