Question

Use ruler and compasses only for the following questions. All constructions lines and arcs must be clearly shown

Construct a  ABC in which BC = 6.5 cm,  ABC = 60°, AB = 5 cm.

Answer 1

Steps of construction:

1) Draw BC = 6.5 cm using a ruler.

2) With B as the centre and radius equal to approximately half of BC, draw an arc that cuts the segment BC at Q.

3) With Q as the centre and same radius, cut the previous arc at P.

4) Join BP and extend it

5) With B as the centre and radius 5 cm, draw an arc that cuts the arm PB to obtain point A.

6) Join AC to obtain ΔABC.