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Similar triangle split (Posted on 2023-08-20) Difficulty: 3 of 5
A line through a vertex of a triangle cuts it in two similar triangles with √3 as the ratio between correspondent sides. Find the angles of the given triangle.

No Solution Yet Submitted by Danish Ahmed Khan    
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Some Thoughts a solution, ? if unique | Comment 1 of 2
If you start with a 30-60-90 triangle, 
draw a line from the right angle perpendicular to the hypotenuse.
This divides the original triangle into 2 30-60-90 triangles with the ratio of corresponding sides being √3.

I do not know if this is the only solution.

  Posted by Larry on 2023-08-20 11:51:35
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