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. 

Answer 1

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.