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15 December, 08:54

Ellen has property whose boundary lines form a triangle, as shown in the diagram. Her house lies at vertex A, and she is going to put a bunkhouse for the ranch hands somewhere along the segment BC. She wants the placement to be such that CA CD = BA BD. What must be true about the segment AD so that the proportion CA CD = BA BD holds?

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  1. 15 December, 10:24
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    Segment AD must bisect ∠ A.
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