Question

Will give medal! Use the information below to find the missing measure such that ABC ~ DEF.

AB = 35, DE = 14, DF = 22, m 10 years ago

Answer 1

So i'm assuming it would just look like

Answer 2

Since we want these to be similar...the length of the first object would just be a factor of the second one

So

Length AB = Something * Length DE
Length AC = Same Something * Length DF

Our job is to find out what that "something" is

Answer 3

to find what AC is

Answer 4

Ultimately yes, but for now we need to find out what the "something" is as I have described above

\[\large AB = xDE \]
\[\large 35 = x(14)\]

what is 'x' there?

Answer 5

will it be a decimal?

Answer 6

It will be yes 35 divided by 14 is a decimal number

Answer 7

2.5

Answer 8

Right....so that means for the lengths AB and DE......AB is 2.5 times bigger than DE

Which is what we need because since these are to be "similar" that means the other sides will be subject to the same factor

That means that AC would ALSO be 2.5 times bigger than DF...so what would AC be?

Answer 9

Multiply 2.5 x 2?

Answer 10

Well...22 but yes

Answer 11

I got the answer 55?

Answer 12

Correct! :)

Answer 13

ty