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Using ruler and compass construct a triangle ABC in which AB = 6 cm, ∠BAC = 120° and AC = 5 cm. Construct a circle passing through A, B and C. Measure and write down the radius of the circle. - Mathematics

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प्रश्न

Using ruler and compass construct a triangle ABC in which AB = 6 cm, ∠BAC = 120° and AC = 5 cm. Construct a circle passing through A, B and C. Measure and write down the radius of the circle.

योग

उत्तर


Steps of construction:

  1. Draw a ΔABC with AB = 6 cm, AC = 5 cm, ∠BAC = 120°.
  2. Draw the right bisectors to join AB and AC at O.
  3. Draw a circle with radius OC and center O by joining OC.
  4. The circle passing through A, B and C is required.
  5. Radius OC = 5.5 cm.
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