Question

show that of all line segment drawn from a given point not or a given line the perpendicular line segment 8s the shortest ​

Answer 1

Answer:

Answer: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

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

XY is the shortest of all line segments from X to YZ.Step-by-step explanation:

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