One common misunderstanding about the Triangle Inequality Theorem is that it only works for right triangles.

But in fact, it applies to all kinds of triangles — acute, obtuse, and right triangles!

The theorem says that if you take any two sides of a triangle, their lengths added together must be greater than the length of the third side.

So, even if you're dealing with a triangle that looks a little odd, this rule still holds true.

Another mistake people make is thinking that if you know just one side of a triangle, you can find the lengths of the other sides easily.

Actually, you need to know the lengths of at least two sides to figure out if the triangle can exist.

For example, if you have two sides that are 3 and 5 units long, you can't just say the third side could be 8.

Instead, you would find out that the third side must be shorter than 8 but longer than 2.

So, it’s like this: ( |3 - 5| < x < 3 + 5 ).

Lastly, some students think that if a triangle doesn’t follow these rules, it can't be formed at all.

But that’s not true!

It just means that those specific side lengths won’t make a triangle.

However, other combinations of side lengths might still create a triangle!