No, because 1 + 2 < 5 contradicts the triangle inequality therem (option C)
Explanation:
The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.
Given the 3 sides as: 1ft, 2 ft, 5 ft
Using the triangle inequality:
1 + 2 > 5
3 > 5 (this is false)
1 + 5 > 2
6 > 2 (this is true)
2 + 5 > 1
7 > 1 (this is true)
There is something else about the theorem, the sum of the two shorter sides should be greater than the sum of the longest side.
In our solution 1+2 > 5 which is false.
Hence, it is not possible to have a triangle with sides 1ft, 2ft and 5 ft because 1 + 2 < 5
The correct option: No, because 1 + 2 < 5 contradicts the triangle inequality therem (option C)
