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

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

`(AB)/(AC) = (ED)/(DF)`

As given

AB = 30unit

AC = 24unit

ED = 5unit

DF = x

put in the above

`x = (5*24)/(30)`

solving

x = 4 unit

option (C) is correct

Hence proved