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Question: How can I get one option coordinates of points A, B, C, D and X of a problem 6 at IMO 2018?

Question:How can I get one option coordinates of points A, B, C, D and X of a problem 6 at IMO 2018?

minhthien2016 385 Maple 2018
geometry
October 28 2019
1

I want to find coodinates of the point A, B, C, D and X of a problem 6 at IMO 2018 https://www.imo-official.org/problems.aspx

I tried 

 

restart:
 with(Student:-MultivariateCalculus):
 A := [0, 0]; 
B := [5, 0]; 
C := [3, 4]; 
DD := [a, 2]; 
solve([Distance(B, A)*Distance(C, DD) = Distance(B, C)*Distance(A, DD)], [a]);

How can I get coordinate X lies inside life request?
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