It is not difficult, let AE or BE be x, let AE be x, then BE=4-x, BE=DE, using Pythagorean theorem:

If: substitute the data and solve the equation with: x= 1.5, AE= 1.5 and BE=2.5.

For convenience, let ∠ADE be α, ∠BCE be β, and the geometric relationship is ∠ ade+∠ BCD = 90, because BCD = 90.

So, is there? Tan∠BCD=cot∠ADE, then tan2β=cotα=2/ 1.5=4/3, using the angle doubling formula,?

To solve the equation, tanβ= 1/2.

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