Question

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

Answer 1

answer?

Answer 2

there is only one answer

Answer 3

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.

Answer 4

The third side of the triangle could be option B) 9 or option C) 11.

Answer 5

I apologize for the confusion. Based on the Triangle Inequality Theorem, the correct answer is option B) 9.