To determine the third side of a triangle, we need to check if it follows the Triangle Inequality Theorem. 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.
Let's check each option:
A. 1: The sum of the first two sides (4 + 6) is 10. Since 1 is less than 10, it does not satisfy the Triangle Inequality Theorem.
B. 11: The sum of the first two sides (4 + 6) is 10. Since 11 is greater than 10, it satisfies the Triangle Inequality Theorem.
C. 9: The sum of the first two sides (4 + 6) is 10. Since 9 is less than 10, it does not satisfy the Triangle Inequality Theorem.
D. 2: The sum of the first two sides (4 + 6) is 10. Since 2 is less than 10, it does not satisfy the Triangle Inequality Theorem.
Therefore, the option that could be the third side of a triangle with the first two sides measuring 4 and 6 is option B: 11.
Apply the Triangle Inequality Theorum and determine which option could be the third side of a triangle if the first two sides measure 4 and 6.
A. 1
B. 11
C. 9
D. 2
1 answer
1 answer