Question

Using ruler and compasses, draw a ΔABC in which BC = 7 cm, CA = 5 cm, and AB = 6 cm and construct its circumcircle. Also write the steps of construction.

Answer 1

Steps of Construction are as follows:

• Draw BC = 7 cm.
• With B as the centre, draw an arc of radius 6 cm.
• With C as centre, draw an arc of radius 5 cm, cutting the previous arc at A.
• Join AB and AC to form ΔABC.
• Draw the perpendicular bisector of AB.
• Draw the perpendicular bisector of AC.
• Let the bisectors meet at O (circumcentre).
• With O as centre and radius OA, draw a circle.
• This is the circumcircle of ΔABC.