Question

PHOTO IS BELOW. let segment AB, segment BC, and segment CA be tangent to G. If AB =52, BF = 20, and CD = 21, calculate the perimeter of ABC

Answer 1

@logan13 can you help me out with this?

Answer 2

@Mehek14

Answer 3

I tried to multiple BF and CD by 2 and then try to get the perimeter but...it was incorrect so i dont really know what else to do

Answer 4

@Astrophysics @Directrix @KamiBug @jdoe0001 @KenLJW

Answer 5

I'm dying right now...
this is the last question...

Answer 6

Hey, Directrix will be here soon. He just gets tagged a lot so he's laggy. Gotta answer all those calls, y'know ☺

Answer 7

true true

Answer 8

your icon..would that be dave by any chance?

Answer 9

*chuckles*
No, it's not Strider. But nice try ☺

Answer 10

meh, first thing I think of when I see blonde hair and something dark over the eyes

Answer 11

answer choices are 146, 186, 93, and "cannot be determined"

Answer 12

Recall that tangents draw to a circle from an outside point are congruent.


Notice that I have marked the diagram to indicate that.

Answer 13

CD = CF

If CD = 21, then what is CF based on the theorem I posted?

Answer 14

21

Answer 15

Correct. What is BE?

Answer 16

20

Answer 17

I think I got it now...

Answer 18

Let's see.

What is AE?

Answer 19

32

Answer 20

Correct. What is AD?

Answer 21

32 again. So I just have to add 32 to 21, 32 to 20, and 21 to 20 and that'll be the perimeter.

Answer 22

Once you get AD, you can add the segment lengths to get the perimeter.

Answer 23

thank you so much!

Answer 24

You are welcome.

As a final check, what did you get for the perimeter?

Answer 25

146

Answer 26

That is what I got.