Similar triangles

In the triangle DEF is DE = 21cm, EF = 14.7cm, DF = 28cm. The triangle D'E'F' is similar to the triangle DEF. Calculate the lengths of the sides of the triangle D'E'F' if the similarity coefficient is one-seventh.

Correct answer:

f2 =  3 cm
d2 =  2.1 cm
e2 =  4 cm

Step-by-step explanation:

f=21 cm d=14.7 cm e=28 cm  k=710.1429  k = f2/f  f2=f k=21 71=721 1=721=3 cm
d2=d k=14.7 0.1429=1021 cm=2.1 cm
e2=e k=28 71=728 1=728=4 cm

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