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Show that of all line segments drawn from a given point not on it the perpendicular line segment is the shortest?
Sajjal
Hi!
Given: l is a straight line and A is a point not lying on l. AB⊥ l and C is a point on l.
To prove: AB < AC
Proof: In ∆ABC,
∠B = 90°
Since, C can lie anywhere on l (other than M)
So, AB is the shortest of all line segments drawn from A to l.
Cheers!
Wiki User
∙ 12y ago
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