【Haichuan Teahouse】Brain-teasing Series: You’ll get stuck if you don’t understand rotation
Thread Content
As shown in the figure, there is a square. It is given that AB = 4, CD = 2, and ∠AEB = ∠BEC. Find the length of EC and the area of the square.
2x = X(x-4); X = 6 (where X is the side length of the square), X = 6； Conclusion: EC is 40 below the root, and the area of the square is 36.
It seems that using CAD doesn’t yield this result, so maybe there are missing conditions for this problem?
It seems wrong; if the side length of a square is 6, then its two angles are not equal.
Old Fish hurriedly gave the answer. . .
I suspect it’s a wrong question; generally one would intuitively assume that the length here would be 6, but that’s not the case. However, there should be a solution to this problem; it’s just that due to limitations in drawing skills or insufficient mathematical knowledge, I’m unable to find it for now.