The measure of two sides of a triangle are 5.2 and 8.1. Determined the range of values for the third side of the triangle
To determine the range of values for the third side of the triangle, we can 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.
Let's call the third side of the triangle "x". Using the triangle inequality theorem, we can write two inequalities:
5.2 + x > 8.1 ---> x > 8.1 - 5.2 ---> x > 2.9
8.1 + x > 5.2 ---> x > 5.2 - 8.1 ---> x > -2.9
Therefore, the range of values for the third side of the triangle is x > 2.9.