To determine which option could be the third side of a triangle, we apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that the first two sides measure 4 and 6, we need to check if the sum of these two sides is greater than the third side for each option.
Option 9: 4 + 6 > 9
10 > 9
True
Option 1: 4 + 6 > 1
10 > 1
True
Option 2: 4 + 6 > 2
10 > 2
True
Option 11: 4 + 6 > 11
10 > 11
False
Therefore, the only option that could be the third side of a triangle with sides measuring 4 and 6 is 9.
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 9 9 1 1 2 2 11
1 answer