Consider a semicircle of radius 1. Let l be the line segment from one endpoint of the semicircle to any point P on the semicircle except the other endpoint. Similarly, let m be the line segment from the other endpoint to point P. Prove that l is perpendicular to m.

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Consider a semicircle of radius 1. Let l be the line segment from one endpoint
of the semicircle to any point P on the semicircle except the other endpoint. Similarly, let m be the line segment from the other endpoint to point P. Prove that l is perpendicular to m.

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