the measure of 2 sides of a triangle are 7 and 11. determine the range of values for the 3rd 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 x be the length of the third side of the triangle.
According to the triangle inequality theorem, we have:
7 + x > 11
11 + x > 7
7 + 11 > x
Solving these inequalities, we get:
x > 4
x > -4
x < 18
Therefore, the range of values for the third side of the triangle is 4 < x < 18.