Question

Geometry Question! (figure in comments!)
1. Calculate the perimeter of triangle DEF.

Answer 1

First realize that the triangles are similar by SAS test.ok?

Answer 2

okay.

Answer 3

your answer should be 48

Answer 4

How did you get 48?

Answer 5

so their sides are in proportion
\[\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}\]
ok ?

Answer 6

Ok

Answer 7

yea look at 22 and 14

Answer 8

now u know
\[\frac{AC}{DF}=\frac{22}{14}\]
so
\[\frac{BC}{DF}=\frac{22}{14}\]
now can u find DF as BC is known ?

Answer 9

sorry its BC/EF

Answer 10

Give me one sec. okay

Answer 11

the difference is 8 if you would subtract 25 by 8 you get 17 times that by 2 equals 34 plus the given side of 14

Answer 12

I got a weird number...

Answer 13

Is it a decimal?

Answer 14

can u keep it in fraction?
anyways what is it?

Answer 15

39.28, then I tried it again and got 40.32...

Answer 16

ok,i'll do it.
BC=25
so
EF=14*25/22=7*25/11=175/11
keep it like this only.
Now,EF=DE given
so u have all sides of the triangle now.
how do u find the perimeter??

Answer 17

one sec

Answer 18

72?

Answer 19

i didn't ask for a value,i asked how do u find perimeter when all sides known.?

Answer 20

do u have options???

Answer 21

you add all the sides up, right? and area is 1/2xbasexheight

Answer 22

exactly. :)
so u have all the sides now,just add them up.

Answer 23

im sorry i made a mistake hartnn what about taking 22 and dividing it by 14 this should give you a decimal numeric value then take 25 and divide it by that decimal it should give you proportioned side of EF

Answer 24

list the options if u have it......

Answer 25

45.82 is what i got now

Answer 26

even i am getting 45.82

Answer 27

yay! thank you @hartnn

Answer 28

your welcome :)
@Kayell thats correct.

Answer 29

then u get EF as 15.9

Answer 30

well thanks im glad i can help as well i like the collaboration