(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!
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(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!
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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:
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.