Question

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

Answer 1

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,

$6+8=14>12$

For option B,

$4+4=8>12$

For option C,

$6+6=12$

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,

$6+8=14>10$

Therefore, the correct option is C.