The measures of two sides of a triangle are 5.2 and 8.1. determine the range of vaules for the third sude of the triangle. (1 point)
To determine the range of values for the third side of the triangle, we use the triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So, for the given sides 5.2 and 8.1, let x represent the length of the third side. The range of values for the third side can be found by setting up the following inequalities:
5.2 + 8.1 > x
8.1 + x > 5.2
5.2 + x > 8.1
Solving these inequalities, we get:
13.3 > x > 3.1
Therefore, the range of values for the third side of the triangle is 3.1 < x < 13.3.