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ABCD is a square with area 100. Circle O is tangent to all four sides of the square. Diagonal BD meets the circle at X and Y, with X closer to D than to B. Find DX. 

 

ps there is no picture 

 Oct 26, 2021
 #1
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$DX = 5/2 \cdot \pi - 5$.

 Oct 26, 2021
 #2
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DX = √50 - 5 smiley

 Oct 27, 2021
 #3
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DX = (√50) - 5

Guest Oct 27, 2021

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