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.
Using this theorem, we can determine that the third side cannot be 1, because 4 + 1 = 5, which is not greater than 6.
The third side also cannot be 9, because 4 + 9 = 13, which is not greater than 6.
The third side cannot be 2, because 4 + 2 = 6, which is not greater than 6.
However, the third side can be 11, because 4 + 11 = 15, which is greater than 6.
Therefore, option 11 could be the third side of a triangle with side lengths measuring 4 and 6.
Apply the Triangle Inequality Theorem and determine which option could be the third side of a triangle if the first two sides measure 4 and 6.
1
9
2
11
1 answer
1 answer