show that only one perpendicular is drawn from an external point on a straight line
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let the line be XY and point be O
let O have 2 perpendiculars OA and OB on XY
now in triangle OAB, angle A = angle B = 90°
therefore according to angle sum property, angle AOB = 0°
therefore OA and OB are coincident
let O have 2 perpendiculars OA and OB on XY
now in triangle OAB, angle A = angle B = 90°
therefore according to angle sum property, angle AOB = 0°
therefore OA and OB are coincident
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