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Question
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.
Solution
Steps of construction:
- Draw a ΔABC with AB = 6 cm, AC = 5 cm, ∠BAC = 120°.
- Draw the right bisectors to join AB and AC at O.
- Draw a circle with radius OC and center O by joining OC.
- The circle passing through A, B and C is required.
- Radius OC = 5.5 cm.
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