Question

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

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.