To construct: Δ DEF where DE = 5 cm, DF = 3 cm and m∠ EDF = 90 .

Steps of construction:

(a) Draw a line segment DF = 3 cm.

(b) At point D, draw an angle of 90 with the help of compass i.e., ∠ XDF = 90 .

(c) Taking D as centre, draw an arc of radius 5 cm, which cuts DX at the point E.

(d) Join EF.

It is the required right angled triangle DEF.