Question

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



Use simple language and answer clearly​

Answer 1

Step-by-step explanation:

please find the attachment

hope this helps u

Answer 2

Step-by-step explanation:

ANSWER

Take a point P not on AB straight line, but some distance away from AB. We draw PC (the perpendicular on to AB). We draw another line from P to D.

In the triangle PCD, use the

Pythagorean law for sides:

${pc}^{2} + {cd}^{2} = {dp}^{2} \: \\ Since \: {cd}^{2} </p><p> \: is \: positive \: and \: adds \: to \: {pc}^{2} \\ {pc}^{2} + {cd}^{2} > {pc}^{2} \\ or \: {dp}^{2} > {pc}^{2}$

So, dP>PC

So, PC the perpendicular distance from an external point to a line segment, is the shortest.