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.
The measure of two sides of a triangle are seven and eleven determined the range of values for the third side of the triangle
1 answer
1 answer