Question

In the diagram, ABC - DEF Find the value of x .

12
8
36
24
E
27
The value of x is

Answer 1

Find the similarity ratio from the other two sides.

AC ~ DF

and

BC ~ EF

AC = 12

DF = 36

36 ÷ 12 = 3

BC = 9

EF = 27

27 ÷ 9 = 3

Ratio similarity scale is, 1 : 3

We have AB ~ DE

AB = x

DE = 24

24 ÷ x = 3

24 ÷ 3 = x

8 = x

The value of x is 8