Question

Construct a triangle PQR in which Qr = 5.4 cm, Q = 60° and PR - PQ = 2.3 cm and QR=5.4
justify the same. (steps not required)​

Answer 1

Steps of Construction:

(i) Draw a line segment which is sufficiently long using ruler.

(ii) Locate points P and Q on it such that PQ=5.4cm.

(iii) At Q, construct a line segment QS, sufficiently large, such that ∠PQR=55˚ ; use protractor to measure 55˚

(iv) With Q as centre and radius 5.5cm, draw the line cutting QS at R; join PR.

Thus PQR is the required triangle.