Show that of all line segments drawn from a given point not on it, the – InterviewSolution

InterviewSolution

1.

Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

Answer»

P is a point on straight line l.

PR is the segmnent for l drawn such that PQ ⊥ l.

Now, in ∆PQR,

∠PQR = 90° (Construction)

∴ ∠QPR + ∠QRP = 90°

∴ ∠QRP < ∠PQR

∴ PQ < PR

Any line segment drawn from P to l they form small angle.

∴ PQ ⊥ l is smaller.

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