Question

Construct an isosceles triangle PQR where PQ = PR and ∠Q = 50°, QR = 7cm. Also draw its circumcircle.

Answer 1

Rough diagram

Isosceles triangle PQR where PQ = PR and Q = 50°, QR = 7 cm.

Construction : 

(i) Draw the ∆PQR with the given measurements. 

(ii) Construct the perpendicular bisector at any two sides (PQ and QR) and let them meet at S which is the circumcentre. 

(iii) S as centre and SP = SQ = SR as radius, draw the circumcircle to pass through P, Q, R. 

Circumradius = 3.5 cm.