Question

Construct a circumcircle of ΔABC, where AB = 8 cm, BC = 5 cm and ΔABC = 60°. Write the steps of construction.

Answer 1

Steps of Constructions :

Step 1 : Draw BC = 5 cm at B draw an angle of 60° i.e., ∠XBC = 60°.

Step 2 : Taking B as centre draw an arc of 8 cm at BX which is point A. join AC.

Step 3 : Draw the perpendicular bisectors of the line segments BC, AB and AC.

Step 4 : Point at which the three perpendiculars meet is the circumcenter of the circle. mark it as O.

Step 5 : From centre O, draw circle of radius OA, OC.

Step 6 : Circle passes through point A, B and C, therefore is the required circumcircle.