Length....

Geometry Level 3

In the figure above, \(A\), \(B\), \(C\) and \(D\) are points on the circle such that the straight lines \(AB\) and \(CD\) intersect at \(E\). Let \([BCE]\) and \([ADE]\) denote the areas of the triangles \(\Delta BCE\) and \(\Delta ADE\), respectively.

If \(\dfrac{[BCE]}{[ADE]}=25\) and \(AE=1\), find the length of \(CE\).


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