Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

According to the Triangle Inequality Theorem, for a triangle with sides measuring a, b, and c, the sum of any two sides must be greater than the third side.

So, we need to check if the sum of the first two sides (4 and 6) is greater than the third side for each option:

A. 1: 4 + 6 > 1
This is true, so option A could be the third side of a triangle.

B. 11: 4 + 6 > 11
This is true, so option B could be the third side of a triangle.

C. 9: 4 + 6 > 9
This is true, so option C could be the third side of a triangle.

D. 2: 4 + 6 > 2
This is also true, so option D could be the third side of a triangle.

Therefore, all options (A, B, C, and D) could be the third side of a triangle.