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【Haichuan Teahouse】Brain-teasing Series: Questions for the transition from primary to middle school that can’t be solved without thinking

2021-11-06View Original

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In a right triangle, there is a square inside it. Given that the lengths of two of the line segments are 6 and 5, find the area of the square.
Reply #22021-11-07
There are more than just your face value when it comes to looking at drawings
Reply #32021-11-07
Similar triangles: Let the side length of the square be X. Then 6/X = X/5, and X squared equals 30; thus the area is 30
Reply #42021-11-07
No diagrams are needed; the problem can be solved using only knowledge related to similar triangles. It has been proven on the sixth floor
Reply #52021-11-07
That’s exactly the reason; you forget it after not using it for a long time. Like this

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