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Construct a triangle ABC in which base BC = 5.5 cm, AB = 6 cm and ∠ABC = 120°. Construct a circle circumscribing the triangle ABC. Draw a cyclic quadrilateral ABCD so that D is equidistant from B - Mathematics

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प्रश्न

Construct a triangle ABC in which base BC = 5.5 cm, AB = 6 cm and ∠ABC = 120°.

  1. Construct a circle circumscribing the triangle ABC.
  2. Draw a cyclic quadrilateral ABCD so that D is equidistant from B and C. 
योग
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उत्तर

i.

 

a. Draw a line BC = 5.4 cm.

b. Draw AB = 6 cm, such that m∠ABC = 120°.

c. Construct the perpendicular bisectors of AB and BC, such that they intersect at O.

d. Draw a circle with O as the radius.

ii.

e. Extend the perpendicular bisector of BC, such that it intersects the circle at D.

f. Join BD and CD.

g. Here BD = DC.  

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