Question

Construct an obtuse angled triangle which has a base of 5.5 cm and base angles of 30° and 120°.

Answer 1

Steps of construction

Step I Draw a line segment SC of length 5.5 cm.

Step II Draw an angle of 120° on point S and produce it to ray Y.

Step III Draw an angle of 30° on point C and produce it to ray X.

Step IV Extend BY and CX to intersect at point A.

Hence, ΔABC is the required triangle with BC = 5.5, ∠ABC = 120° and ∠ACB = 30°.