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Construct an equilateral triangle ABC with side 6 cm. Draw a circle circumscribing the triangle ABC. - Mathematics

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Question

Construct an equilateral triangle ABC with side 6 cm. Draw a circle circumscribing the triangle ABC. 

Sum

Solution

 
Steps of construction:

  1. Draw a line segment BC = 6 cm.
  2. With centers B and C, draw two arcs of radius 6 cm which intersect each other at A.
  3. Join AC and AB.
  4. Draw perpendicular bisectors of AC, AB and BC intersecting each other at O.
  5. With centre O and radius OA or OB or OC draw a circle which will pass through A, B and C.
    This is the required circumcircle of triangle ABC. 
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Chapter 19: Constructions (Circles) - Exercise 19 [Page 293]

APPEARS IN

Selina Mathematics [English] Class 10 ICSE
Chapter 19 Constructions (Circles)
Exercise 19 | Q 13 | Page 293

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