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【Haichuan Teahouse】Brain-teasing Series: Turning corners and taking detours to find the length

2021-11-23View Original

Thread Content

Quadrilateral ABCD is a square, with ∠AED = ∠DFC = 90°, CF = 3, and EF = 4. Find the length of BF.
Reply #22021-11-24
This post was last edited by Wang Genrong on 2021-11-24 08:55. It is correct that the answer is 5. The auxiliary line was drawn, and everything became easy to solve.
Reply #32021-11-24
This post was last edited by Yang Qing on 2021-11-24 09:00. Well, I’m still proving congruence... Connect EC... It will be fine once you solve it
Reply #42021-11-24
It seems that the function shown in the above image is experiencing a 502 error again; what appears is black
Reply #52021-11-24
Using squares to create four triangles is a clever idea
Reply #62021-11-24
That tick mark of yours seems to be something a student would make in the teacher’s notebook; P
Reply #72021-11-24
What I saw was another very stupid approach. The solution upstairs is simple
Reply #82021-11-24
It’s probably the method I want to use to prove that triangles are congruent; it’s obvious at first glance that they are congruent, but proving it turns out to be a bit difficult.
Reply #92021-11-24
∠1=∠2 DE=CF
Reply #102021-11-24
Well, I don’t know why the two images on the 4th floor are completely black; is it due to my computer?

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