Question

Ambiguous Case 2nd Set Of Solutions
(as seen in the picture within the next post)

The 2nd set of answers should be: B = 107.79 degrees, C = 14.21 degrees, c = 3.30

The answers so far are: B = 72.21 degrees, C = 49.79 degrees, c = 10.27

Angle A was given to be at 58 degrees, a to be 11.4, and b to be 12.8

Answer 1

What was the question ?

Answer 2

The triangle has 2 sets of answers. How do you get the 2nd angle of C, B, and side c.

Answer 3

I got B prime as 180-angle B (180-72.21) degrees... = 107.79 degrees.

Answer 4

I got the previous answers using the law of sines, but I don't know how to get the other two remaining solutions (C prime, and the 2nd solution for side c). C prime should = 14.21 degrees, and the 2nd solution for side should equal 3.30

Answer 5

Assume the unknown side to be x and try the law of cosines.
You will get a quadratic equation in x that will yield two sets of solutions.

Answer 6

I get the 1st side of c (10.266), or 10.27, as seen in my answer using law of sines.

Answer 7

The other solution should be c = 3.3

Answer 8

Yes, please show me how to get it if you can.

Answer 9

Starting from scratch, assume the unknown side to be x.
Apply the law of cosines:
x^2 + 12.8^2 - 2(12.8)(x)(cos(58) = 11.4^2
This will simplify to:
x^2 - 13.57x + 33.8 = 0
Solve for x using quadratic formula and you will get
x = 10.27 or 3.3
Then apply the law of sine to get one unknown angle.
Use use the fact the angles of a triangle sum up to 180 degrees to get the third angle.

Answer 10

Never mind. :P

Answer 11

With so many angles and sides, I got mixed up with with which are the primes, and which are the first ones. 180-107.79-58=14.21 degrees.

Answer 12

thank you :)

Answer 13

you are welcome.