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In the equilateral ABC, AB = 12, One ve...

In the equilateral `ABC, AB = 12`, One vertex of a square is at the midpoint of the side BC, and the twoadjacent vertices are on the other two sides of the triangle. The length of a side of the square may berexpressed as `psqrt2+qsqrt6` where p and q are integers. The ordered pair `(p, q)` is

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