Out of the 4 options, the distances 6 8 14 would not be an option.
What is triangle inequality?
Triangle inequality states that the sum of any two sides in a triangle is always greater than the third side.
A)5+6>9
6+9>5
5+9>6
So the triangle is possible.
B) 6+8=14 while the condition is that the sum of any two sides in a triangle is always greater than the third side i.e 6+8 must be greater than 14.
So, the triangle is not possible.
Similarly, C and D are possible triangles.
Hence, out of the 4 options, the distances 6 8 14 would not be an option.
To get more about triangles visit:
https://brainly.com/question/2644832
