Question

Look at the figure below:

Which conclusion is most likely correct about the figure?
A. The length of side DC is equal to 5 cm.
B. The length of side DC is equal to 7 cm.
C. The length of side DC is equal to 15 cm.
D. The length of side DC is greater than 15 cm.

I think its either C or D but I cant remember how to solve this, can someone help me out?

Answer 1

you are in the right area
C. could DC = AC = 15?

Answer 2

why or why not

Answer 3

I think DC is equal to 15. AC and DC look congruent in length

Answer 4

@Danelle96 please let her do think for a bit

Answer 5

Sorry, lagging really bad, but yeah I thought they were congruent but the different degrees messed me up and I can't remember how to solve this, which theorem is used?

Answer 6

are the angles the same in the graph

Answer 7

Sometimes its hard to keep thinking about the same problem over and over for a period of time I was just trying to help.

Answer 8

no, one is 40 degrees and the other is 47

Answer 9

and I appreciate the help, but how does one solve this? do u k now what theorem is used?

Answer 10

do you know this sinA/a = sinB/b = sinC/c

Answer 11

Renee99 I am sorry i was replying to surdawi about helping you, I am not positive what theorm is used.

Answer 12

oh okay, sorry I was mistaken lol but no @surdawi I haven't seen that one

Answer 13

what grade are you in?

Answer 14

11th...

Answer 15

probably thats what you should use, can you open your book and check?

Answer 16

yeah, but do u know the name of the theorem? It would be easier to find that way

Answer 17

Law of Sines

sinA/a = sinB/b
sin(40)/15=sin(47)/b
b = sin(47) * 15 /sin(40) = 17 ===> D

Answer 18

I got the same, 17.625 :) thanks for helping, but honestly I don't have this theorem in my book Im gonna have to talk to my teacher about it, but thanks again! :)

Answer 19

I have another one but im gonna go post is separately, thanks again! :D