The sides of a triangle are 8 cm, 10 cm and 12 cm, find the greatest angle.

Explanation

To find the greatest angle of a triangle with sides measuring 8 cm, 10 cm, and 12 cm, we can use the cosine rule. The cosine rule states that for any triangle with sides \(a\), \(b\), and \(c\) opposite to angles \(A\), \(B\), and \(C\) respectively, the following holds:

\[ \cos A = \frac{b^2 + c^2 - a^2}{2bc} \]

In this case, we will denote the sides as follows:
- \(a = 8\) cm (opposite angle \(A\))
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