Question

Construct Δ ABC in which AB = 5 cm, BC = 4. 5 cm and ∠ ABC = 60" .. Construct a cirde to circumscribe. Δ ABC.

Answer 1

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