Question

Which of the following CANNOT be given the lengths of the sides of a triangle?

A. 5, 6, 7
B. 6, 6, 10
C. 7, 7, 14
D. 8, 4, 6

Answer 1

The answer is option C.

To construct a Triangle..

One of the criterion is Sum of two sides must be More than The third side.

In Option C. " 7+7=14 " This Series can only form line segment and not a triangle.

Hope it helps...

Regards;

Leukonov/Olegion.

Answer 2

The sides of a triangle must satisfy the triangle inequality, which states the sum of the lengths of any two sides is strictly greater than the length of the remaining side.

We really only have to check if the sum of the two smaller sides exceeds the largest side.

A. 5+6>7, ok

B. 6+6>10, ok

C. 7+7=14 Not ok, this is a degenerate triangle not a real triangle

D. 4+6>8 ok

Answer: C