Question

In ∆RST, RS = 3 cm, ST = 7 cm, RT = 5 cm. If ∆RST ~ ∆DEF and DE = 9 cm, then find the lengths of remaining sides of ∆DEF​

Answer 1

Answer:

Lengths of the remaining sides are 21cm and 15cm

Step-by-step explanation:

Triangle RST ~ triangle DEF

Then RS/DE = ST/EF = RT/DF

given RS/ DE =3/9 =1/3

So ST/EF =1/3

7/EF =1/3

EF =7*3=21cm

RT /DF = 1/3

5/DF =1/3

DF = 5*3=15cm

Lengths of the remaining sides are 21cm and 15cm