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Question
Using ruler and compasses only, construct a triangle ABC in which AB=S cm, BC=6 cm and CA=4.5 cm. Construct a circle passing through A, Band c.
Solution
Steps of Construction:
(i) Draw line AB = S cm
(ii) At B, draw an arc with radius 6 cm
(iii) On the arc cut AC = 4.5 cm.
(iv) Join AC and BC.
(v) Draw perpendicular bisectors of AB and BC, which meet at O.
(vi) With O as centre and radius equal to the distance between O and the vertex of the triangle, draw a circle to pass through alI the three vertices of the triangle. (vii) The circle drawn is the required circle.
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