Science Bowl Question

📅 MIT Science Bowl 2021🎓 HS🔄 Round 12#️⃣ Question 13🌟 BONUS✍️ Short Answer

Triangle ABC has a right angle at C, and a square CDEF is inscribed inside the triangle so that D lies on side AC, E lies on side AB, and F lies on side BC. If AC = 5 and BC = 12, then what is the length of AD?

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