For which type of triangles is the Cosine Rule specifically applicable?

The Cosine Rule is specifically applicable to non-right-angled triangles because it allows for the calculation of the length of a side or the measurement of an angle in any triangle, regardless of its internal angles. The formula states that for a triangle with sides of lengths a, b, and c opposite to angles A, B, and C respectively, the relationship is given by (c^2 = a^2 + b^2 - 2ab \cdot \cos(C)).

This formula can be used for any triangle, not just those with a right angle. In right-angled triangles, the Pythagorean theorem is often more straightforward, but the Cosine Rule provides a versatile method that encompasses all types of triangles, including scalene and isosceles triangles. Thus, it's particularly useful when dealing with non-right-angled triangles where traditional trigonometric methods may not apply.