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) 4 + 1 = 5 < 6. This does not satisfy the Triangle Inequality Theorem.
B) 4 + 9 = 13 > 6. This satisfies the Triangle Inequality Theorem.
C) 4 + 11 = 15 > 6. This satisfies the Triangle Inequality Theorem.
D) 4 + 2 = 6 = 6. This does not satisfy the Triangle Inequality Theorem.
Therefore, options B) 9 and C) 11 could be the third side of the triangle.
Apply the Triangle Inequality Theorem and determine which option could be the third side of the triangle if the two sides measure 4 and 6?
A) 1
B) 9
C) 11
D) 2
5 answers
answer?
The third side of the triangle could be option B) 9 or option C) 11.
there is only one answer
I apologize for the confusion. Based on the Triangle Inequality Theorem, the correct answer is option B) 9.