Maths / Euclids Geometry / Euclid Postulates

QUESTION
 

Prove that an equilateral triangle can be constructed on any given line segment. Mention the steps of construction also.

EXPLANATION
Explain TypeExplanation Content
Text
  • Draw a line segmnet AB of any length say 6cm.
  • Open the compass for 6 cm, keep the needle at A and draw an arc.
  • Now keep the needle at B and draw an arc cutting the previous arc.
  • Let the point of intersection of these two arcs be C. Join AC and BC.
  • Thus a new triangle is formed ABC of 6 cm each i.e. it is an equilateral triangle. Thus an equilateral triangle can be formed on any line segment
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