Answer:
A triangle cannot have side measurements of 1, 4 and 5.
As the sum of two sides i.e. '1+4' of a triangle is not greater than the measure of the third side i.e. '5'.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.
For example, a triangle ΔABC must follow the three conditions which are as follows:
For example, a triangle ΔABC with side lengths:
A = 1
B = 4
C = 5
- A + B > C → 1 + 4 > 5 (FALSE)
- B + C > A → 4 + 5 > 1 (TRUE)
- A + C > B → 1 + 5 > 4 (TRUE)
As the condition i.e. A + B > C → 1 + 4 > 5 is not satisfied, as 1 + 4 > 5 is False.
Therefore, a triangle cannot have side measurements of 1, 4 and 5.
