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 ([tex]x_{1} ,y_{1}[/tex]), B([tex]x_{2} ,y_{2}[/tex]), C ([tex]x_{3} ,y_{3}[/tex]) 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,
[tex]AB + BC > AC[/tex]
[tex]AB + AC > BC[/tex]
[tex]BC+AC > AB[/tex]
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.
