Given a triangular piece of land having two sides 10 yards in length and its base 12 yards, what is the largest square that can be constructed within this piece of land so that one of its sides lies along the base of the triangle?

*Hisab al-jabr w'al-muqabala*, al-Khwarizmi, c. 820

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The answer is: 4.8 by 4.8 yards