Question

what will be the shortest distance from an outside point of line?

Answer 1

Answer:

5metres shirt distance

Answer 2

the perpendicular is the shortest distance from a line to its outside point

Let the perpendicular segment be AB, where B is the intersection point of the segment and the line. Let C be any other point on the line. Then ABC is a right-angled triangle and AC is another line between the given point and line. By Pythagoras' Theorem,

AC^2 = AB^2 + BC^2

or AC^2 - AB^2 = BC^2

If AC ≤ AB then AC^2 ≤ AB^2 and AC^2 - AB^2 ≤ 0. But AB^2 > 0. Contradiction.

So AC > AB and AB, the perpendicular segment is the shortest segment from the point to the line. QED.