Mathematics
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.
Answer
Steps of construction :
Draw AB = 6 cm.
Draw AP so that angle BAP = 120°.
From AP cut AC = 5 cm ⇒ ∠BAC = 120°.
Join B and C to get triangle ABC.
Draw perpendicular bisectors of AB and AC which cut each other at point O.
With O as center and OA (or OB or OC) as radius draw circle which passes through points A, B and C.
Hence, radius of circle obtained = 5 cm.
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