The measure of two sides of a triangle are seven and eleven determined the range of values for the third side of the triangle
According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, for a triangle with sides measuring seven (length 1) and eleven (length 2), the range of values for the third side would be:
Length 3 < 11 + 7,
Length 3 < 18.
So, the third side must be less than 18 units long.
Length 3 > 11 - 7,
Length 3 > 4.
So, the third side must be greater than 4 units long.
Combining both inequalities, the range of values for the third side of the triangle would be:
4 < Length 3 < 18.