Construct a triangle ABC in which AB = 5 cm, ∠B = 60° and altitude CD = 3 cm. Construct a triangle AQR similar to ΔABC, such that each side of ΔAQR is 1.5 times that of the corresponding side of ΔABC.

Steps of Construction :

(i)    Draw a line segment AB = 5 cm.
(ii)    Draw ∠ABX = 60°.
(iii)    Draw AM ⊥ AB at A.
(iv)    Draw NT ⊥ AM cutting BX at C.
(v)    Join AC.
Now, ABC is the required triangle.
Construction of another triangle AQR similar to ΔABC.
Steps of Construction :
(i) Produce AB to Q such that