Subject :IMO Class : Class 9

Following are the steps of construction of a ∆*ABC* in which *AB* = 5 cm, ∠*A* = 30º and *AC – BC* = 2.5 cm. Arrange them and select the CORRECT option.

(i) Draw ∠*BAX* = 30º

(ii) Draw the perpendicular bisector of *BD* which cuts *AX* at C.

(iii) Draw *AB* = 5 cm

(iv) Join* BD*

(v) Join *BC* to obtain the required triangle *ABC*

(vi) From ray *AX*, cut off line segment *AD* = *AC* – *BC* = 2.5 cm

A(i) → (iii) → (iv) → (v) → (vi) → (ii)

B(iii) → (i) → (vi) → (iv) → (ii) → (v)

C(iii) → (i) → (ii) → (v) → (iv) → (vi)

D(iii) → (ii) → (iv) → (i) → (vi) → (v)