Which of the following cannot be the lengths of the sides of a triangle? O 6, 8, 12
O 4,4,6
O 6, 6, 12
O 10, 8, 6

Given:

The sides of a triangles in the options.

To find:

Which of the following cannot be the lengths of the sides of a triangle?

Solution:

In a triangle, the sum of two smaller sides must be greater than the longest side, otherwise it cannot be the lengths of the sides of a triangle.

For option A,

For option B,

For option C,

Here the sum of two smaller sides is not greater than the longest side. So, the sides 6, 6, 12 cannot be the lengths of the sides of a triangle.

For option D,

Therefore, the correct option is C.