Question

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

Answer 1

HEY MATE THERE IS YOUR ANSWER

see the figure given above together with reading solution for better explanation.

let's take point a and line segment bc

Then connect the A and B to form AB.

Take a perpendicular from BC which passes through point A and form AD perpendicular.

you will get a right angle triangle in which AB will be hypotenuse and AD will be hight so AB will be long then AD.

If you draw any line from A point on BC it will always form right angled triangle and AD will be altitude and shorter then hypotenuse.

hence, proved.

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