22. Prove that from a given point, one and only one perpendicular can – InterviewSolution

1.	22. Prove that from a given point, one and only one perpendicular can be drawn to a given line.
Answer» LetAbe the point andLbe the line. Suppose thatBandCare two different points on lineL withABandACboth perpendicular toL. Then triangleABChas right angles atBandC, plus an angle atAwhich add up to more than180°. That does not work for a triangle in the plane whose angles have to add up to exactly180°.

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