In the equilateral ABC, AB = 12. One vertex of a square is at the midpoint of the side BC, and the two adjacent vertices are on the other two sides of the triangle. The length of a side of the square may be expressed as p \sqrt{2} + q \sqrt{6} where p and q are integers. The ordered pair (p, q) is

Engineering

Mathematics

Basic Rules of Properties of Triangle

Question

In the equilateral ABC, AB = 12. One vertex of a square is at the midpoint of the side BC, and the two adjacent vertices are on the other two sides of the triangle. The length of a side of the square may be expressed as $p \sqrt{2} + q \sqrt{6}$ where p and q are integers. The ordered pair (p, q) is

(8, – 4)

(9, – 3)

(5, – 1)

(6, –2)

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