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All equilateral triangles are acute angled triangles and isosceles triangles. So A comes within B and C.

No acute angle or equilateral triangles are right angled. So no intersection between D and A or D and C. But it can be isosceles. So there is intersection between B and D.

Isosceles can be acute angled triangles. So there is intersection between A and B.

See the attachment for Venn Diagram.
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