Identify the side measures that will NOT form a triangle.(1 point)

Question

A. 2, 2, 1
B. 3, 3, 6
C.3, 3, 4
D.2, 2, 2
explain why

Answer 1

The side measures that will not form a triangle are:

A. 2, 2, 1
B. 3, 3, 6

For a triangle to be formed, the sum of the lengths of any two sides must be greater than the length of the third side. In option A, the sum of the lengths of the two shorter sides (2 + 2 = 4) is not greater than the length of the longest side (1). Hence, it will not form a triangle.

Similarly, in option B, the sum of the lengths of the two shorter sides (3 + 3 = 6) is equal to the length of the longest side (6). According to the triangle inequality theorem, the sum of the lengths of the two shorter sides must be greater than the length of the longest side for a triangle to be formed. Since they are equal in this case, it will not form a triangle.

On the other hand, in option C, the sum of the lengths of the two shorter sides (3 + 3 = 6) is greater than the length of the longest side (4), forming a triangle.

Option D has all sides of equal length (2, 2, 2), which satisfies the triangle inequality theorem and will form an equilateral triangle.