2 The triangle \(A B C\), shown in the diagram, is such that \(A B = 26 \mathrm {~cm}\) and \(B C = 31.5 \mathrm {~cm}\).
The acute angle \(A B C\) is \(\theta\), where \(\sin \theta = \frac { 5 } { 13 }\).
- Calculate the area of triangle \(A B C\).
- Find the exact value of \(\cos \theta\).
- Calculate the length of \(A C\).