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Example 1: Find the length of segment KI given BC = 8 in and CK = 5 in.

Circle with points A, B, C, and K, showing segment BC = 8 in and CK = 5 in, with perpendiculars from K to AC and AB, and a segment KI to be found.

Circle with points A, B, C, and K, showing segment BC = 8 in and CK = 5 in, with perpendiculars from K to AC and AB, and a segment KI to be found.

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