The measure of two sides of a triangle are 7 and 11. Determine the range of values for the third side of the triangle.
_____< n < 18
The third side of a triangle must be less than the sum of the other two sides and greater than the difference between them.
So, 7 + 11 > n > 11 - 7.
This simplifies to:
18 > n > 4.
Therefore, the range of values for the third side of the triangle is 4 < n < 18.