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DC² =15² + 8²
DC² = 225 + 64
DC² = 289
DC = √289
DC = 17 cm
AE/BD = AC/CD
x/8 = 15+x/17
17x = 8(15+x)
17x = 120 + 8x
17x - 8x = 120
9x = 120
x = 120÷9
x = 13 1/3 cm (D)