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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.
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Solution
Steps of construction:
- Draw AB = 6 cm.
- At A, draw 120° and mark AC = 5 cm. Join BC.
- Draw perpendicular bisectors of AB and AC; they meet at O.
- Measure OC (radius).
- Draw a circle with centre O and radius OC through A, B, and C.
- Radius OC = 5.5 cm.
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