the measure of 2 sides of a triangle are 5.2 and 8.1. determine the range of values for the 3rd side of the triangle
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Let's denote the third side as x.
So, we have the following inequalities:
8.1 + 5.2 > x
8.1 + x > 5.2
5.2 + x > 8.1
Solving these inequalities, we get:
13.3 > x
x > -2.9
x > 2.9
Therefore, the range of values for the third side of the triangle is 2.9 < x < 13.3.