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 point)
Responses
2
2
11
11
9
9
1
1 answer
To apply 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.
In this case, the first two sides measure 4 and 6.
To determine if an option could be the third side of a triangle, we can check if the option is greater than the difference between the two given sides (6 - 4 = 2) and less than the sum of the two given sides (4 + 6 = 10).
Out of the given options, the numbers that satisfy this condition are 2, 2, 1.
Therefore, the third side could be 2, 2, or 1.