Question

Given that Triangle ABC ~ DEF, solve for x.

Answer 1

you have the answer it's 4 since the big one is 6 times bigger 4 times 6 = 24

Answer 2

ANSWER

Given that Δ ABC ~ ΔDEF

solve for x

To proof

as given in the question

ΔABC ~ ΔDEF

this means their sides are proportional to each other.

thus

$\frac{AB}{AC} = \frac{ED}{DF}$

As given

AB = 30unit

AC = 24unit

ED = 5unit

DF = x

put  in the above

$x = \frac{5\times24}{30}$

solving

x = 4 unit

option (C) is correct

Hence proved