Triangle Inequality

Author:
Mathguru
Topic:
Triangles
On the screen, you see a triangle ABC in red color. Observe how the shape of the triangle ABC changes as we change the lengths of the sides AB (c), AC (b) and BC (a) using their respective slide bars.
Questions to think about. 1. Calculate a+b and compare it with c? 2. Calculate a+c and compare it with b? 3. Calculate c+b and compare it with a? 4. Set the values of a, b and c as a+b=c or a+c=b or b+c=a and what you see? 5. Is it possible to set the values of a, b and c as a+b<c or a+c<b or b+c<a ?