Triangles △abc and △def are similar. find the lengths of the sides of △def, if ab=2 cm, bc=3 cm, ca=4 cm, de=1.5 cm.

DE = 1.5 cm, EF = 2.25 cm, FD = 3 cm

Side DE corresponds to side AB and is (1.5 cm)/(2 cm) = 3/4 the length of it.

Because the triangles are similar, all pairs of corresponding sides have the same ratio. That is, the side lengths in ΔDEF are 3/4 of those in ΔABC.

... EF = (3/4)×BC = (3/4)×(3 cm)

... EF = 2.25 cm

... FD = (3/4)×CA = (3/4)×(4 cm)

... FD = 3 cm

c is the answer

step-by-step explanation: