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Construct a circle, inscribing an equilateral triangle with side 5.6 cm.

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Question

Construct a circle, inscribing an equilateral triangle with side 5.6 cm. 

Sum
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Solution

  
Steps of construction:

  1. Draw a line segment BC = 5.6 cm
  2. With centers B and C, draw two arcs of 5.6 cm radius each which intersect each other at A.
  3. Join AB and AC.
  4. Draw angle bisectors of ∠B and ∠C intersecting each other at O.
  5. From O, draw OL ⊥ BC. 
  6. Now with centre O and radius OL, draw a circle which will touch the sides of ΔABC.
    This is the required circle.
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