17.23 USE problems

Problem: We have \( A B C \) right triangle, with the right angle \( C \). On the line, containing \( A D \) median, point \( E \) is taken, which is at a distance of 4 from the vertex \( A \). Find the area of the triangle \( B C E \), if \( B C=6 \), \( A C=4 \).