# 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 $$CE$$.

×