In the diagram, ABC - DEF Find the value of x .
12
8
36
24
E
27
The value of x is
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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