Question

PLEASE HELP.
For triangle ABC, find the measure of AB given me∠ A = 55 degrees, m∠b= 44 degrees, and b=6

A. 45.22
B.96.68
C.88.19

Please show steps. or the formula at least.

Answer 1

@SolomonZelman

Answer 2

@Luigi0210

Answer 3

Start by drawing and labeling your triangle.

Answer 4

like this? Im not so sure.

Answer 5

@Luigi0210 ?

Answer 6

More like this actually

Answer 7

Okay i see. what do i so next?

Answer 8

-do

Answer 9

Since we need to find side AB (aka c), we need to know what <C is, do you know how to solve for the missing angle?

Answer 10

180- (55+44)?

Answer 11

Luigi stop being slow D:

Answer 12

Sorry, I'm not good at multi-tasking.

But \(180^○=55^○+44^○+c^○\)

Answer 13

So that's not how you do it? can you show me what to do?

Answer 14

and that's fine. it's just that im trying to get this done with asap.

Answer 15

All triangles have interiors whose angles add up to make \(180^○\). Add up the angles you know, then subtract them to find the remaining.

Answer 16

So \(55+44=99\)
\(180-99=c\)

Answer 17

Wait i made a mistake! B= 68 not 6

Answer 18

that's basically what i said lui. 180- (55+44) = 180-99= 81. therefore c= 81

Answer 19

But I think we did something wrong, because I already know what's the correct answer. which is 96.68.

Answer 20

OS is missing up so bad! are you still with me?

Answer 21

Yea, sorry, just clarifying ._.

But know we have
Now just use the law of sines to find c

Answer 22

Im kind of lost now..

Answer 23

Sin (81)?

Answer 24

noo thats wrong.. Dx

Answer 25

\(\Large \frac{c}{sin81^○}=\frac{6}{sin44^○}\)
Multiply by sin81

\(\Large c=(sin 81^○)(\frac{6}{sin 44^○})\)

That should give us the answer..

And those side lengths look really big..

Answer 26

I got 8.5 ...

Answer 27

So did I.

Answer 28

But are you sure those are the answer choices? Did you leave anything out? >.<

Answer 29

No i dont think i did..

It's written exactly like this:

For triangle ABC, find the measure of AB given m∠ A = 55 degrees, m∠B= 44 degrees, and b =6

Answer 30

AB is written like this. if it makes a difference. with a line on top.