In the given figure, BX is perpendicular to XY and CY ​is perpendicular to XY. Z is the midpoint of BC. Prove that XZ = YZ.​

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Kindly refer the solution of part (3) in the given link for a similar query:

https://www.meritnation.com/ask-answer/question/in-a-triangle-abc-bm-and-cn-are-perpendiculars-from-b/quadrilaterals/317589    

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