Show that of all line segments drawn from the given point not on it, the perpendicular line segment is the shortest.
first we draw a line L & from point p draw two line segments PM & PN.
angle N = 90o
angle P+ angle M + angle N= 180o (angle sum property of triangle)
angle P + angle M=90o that means angle M<90o (angle opp. to smaller side is smaller)
PN<PM(side opp. to smaller angle is smaller) Hence proved.
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