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:
[tex]c^2=a^2+b^2 \\ where \ a \ and \ b \ are \ the \ sides \ and \\ c \ is \ the \ Hypotenuse \ that \ is \ always \ the \ greatest \ side[/tex]
Therefore, we can say that:
[tex]a=10cm \\ b=6cm \\ c=12cm[/tex]
Accordingly:
[tex]12^2 \neq 10^2+6^2 \therefore \boxed{144 \neq 136}[/tex]
In fact, this is not a right triangle.
