The triangle ABC has lengths AB = 60, AC = 63 and BC = 39. The point X lies on the circumcircle of ABC such that the triangle AXB also has all integral sides.
Find the perimeters of all possible integral triangles AXB.
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IF YOU ARE A STUDENT, you may still send your complete solution by email to firstname.lastname@example.org.[note that this email still works] This email address shall be removed after the competition closes to avoid spam. This PMQ37 competition closes on WEDNESDAY 25 SEPTEMBER at 23:59 GMT.
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