Two teams from villages \(B\) and \(C\) came for trekking. The first team started from village \(B\) and travelled through village \(D\), and reached their destination \(A\). The second team started from village \(C\) and travelled through village \(E\), and reached their destination \(A\). The roads connecting \(DE\) and \(BC\) are parallel to each other. If the distance between the villages \(AD =\) 19 \(kms\), \(DB =\) 19 \(kms\), \(EC =\) 57 \(kms\), then find the length of \(AE\).
The distance between villages \(A\) and \(E\) is \(kms\).
(Note: Write the answer in decimal places(max. 3 decimal places) if necessary.)