Which classification best represents a triangle with side lengths 6cm, 10cm, and 12 cm?

We can sort out this triangle as a scalene triangle, that is, a triangle that has three unequal sides. It is also true that there are no equal angles for this type of triangles. If a scalene triangle has an angle of 90°, then this is called a right triangle. But this is not right triangle. Let's prove it:

We know that the Pythagorean Theorem establishes that:

 

Therefore, we can say that:



Accordingly: 



In fact, this is not a right triangle.