Answer:
For making this statement true we have to check Triangle Inequality theorem.
Step-by-step explanation:
Given that,
Triangle ΔABC having three vertices are A (
), B(
), C (
) and AC is the longest side.
from the question,
Diagram of the given scenario is shown below,
According to Triangle Inequality theorem states that sum of any 2 sides of a triangle is always greater than third side.
Taking the ΔABC we have,
![AB + AC > BC](https://tex.z-dn.net/?f=AB%20%2B%20AC%20%3E%20BC)
![BC+AC > AB](https://tex.z-dn.net/?f=BC%2BAC%20%3E%20AB)
This condition must be satisfied for drawing a triangle if any two side sum is lesser than third side it will not form a triangle.
Hence,
For making this statement true we have to check Triangle Inequality theorem.