The triangle inequality theorem is an important part of geometry in order to mention the dimension of the sides of a triangle clearly.
What is triangle inequality theorem?
The triangle inequality theorem states that, the sum of the length of two sides must be greater than the length of the third side of that triangle.
Here, three sides of this triangle ABC are AB, BC, and CA.
Therefore, as per the triangle inequality theorem:
(Length of AB + length of BC) must be greater than the length of CA.
Therefore, (AB + BC) > CA.
(Length of BC + length of CA) must be greater than the length of AB.
Therefore, (BC + CA) > AB.
(Length of AB + length of CA) must be greater than the length of BC.
Therefore, (AB + CA) > BC
For an example, if we are running in a triangular shaped track, then it can be easily understandable.
Now, if we start running from the point A, then to reach the point B the shortest path will be the straight line AB.
Instead of that, if we go to the C point at first and then reach the point B, then we will travel more distance.
Similarly, starting from the other points, we will get the same results.
Learn more about triangular inequality theorem here: https://brainly.com/question/18345497
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