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Question
Construct Δ ABC in which AB = 5 cm, BC = 4. 5 cm and ∠ ABC = 60" .. Construct a cirde to circumscribe. Δ ABC.
Solution
Steps of construction:
(i) Draw line AB= 5 cm
(ii) At B, draw an arc making an angle of 60° with AB
(iii) On the arc cut BC= 4.5 cm.
(iv) Join AC.
(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 1 draw a circle to pass through alI the three vertices of the triangle.
(vii) The drawn circle is the required circle with radius= 2.8 cm
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