Question

(iii) Of all the line segments that can be drawn to a given line from a given point outside it, the ________ is the shortest.

Ans-- Perpendicular

pls Explain it with example!​

Answer 1

Answer:

perpendicular line segment

example :

Consider a line l on which Y and Z lies.

Now, a point X away from YZ such that XY⊥l and Z is a point on line l other than Y.

In △XYZ,

∠Y=90

∘

So, in ΔXYZ,

⇒∠YXZ+∠XZY+∠XYZ=180

∘

Putting ∠XYZ=90

∘

⇒∠YXZ+∠XZY=90

∘

⇒∠X+∠Z=90

∘

⇒∠Z<90

∘

⇒∠Z<∠Y

⇒XY<XZ

(Side opposite to greater angle is greater)

XY is the shortest of all line segments from X to YZ.

Answer 2

Answer:

so if you know all of your line segments then this isn't too hard to figure out here's the answer you'll need

Step-by-step explanation:

its perpendicular line segment because all the line segments that can be drawn to a given line, from a point, not lying on it, the perpendicular line segment is the shortest.