The measures of 2 sides of a triangle are 5.2 and 8.1. Determine the range of values for the third side of the triangle.
In a triangle, the length of any side must be greater than the difference between the lengths of the other two sides and less than the sum of the lengths of the other two sides. So, the range of values for the third side of the triangle is:
8.1 - 5.2 < x < 8.1 + 5.2
2.9 < x < 13.3
Therefore, the range of values for the third side of the triangle is 2.9 < x < 13.3.