Question

Question Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results.

B = 30°, b = 14.5, a = 12.3

Answer 1

This will provide an ambiguous case of triangles. Possible 2 solutions. This is an (SSA) triangle.

Answer 2

Okay, I've just solve it, there is only 1 solution. Do you know how to solve it?

Answer 3

*solved

Answer 4

To solve for any give side or angle, use the law of sines in this case.

Answer 5

You still there?

Answer 6

12.3sin(30)/14.3 = 24.64

Answer 7

That is really, really close. Its off by like 1 degree.

Answer 8

my ti give me in decimal .4301 and in degree 24.64

Answer 9

It would be 25.472 degrees.

Answer 10

Now, since you know two angles, you can find the 3rd by their sum up to 180 degrees.

Answer 11

Can you figure out angle C?

Answer 12

25.472+30=x

180-x= Angle C

Answer 13

124.5

Answer 14

Yep

Answer 15

this are the possible answers

no triangle


two triangles

A1 = 36.12o, B1 = 113.88o, b1= 22.49

A2 = 143.88o, B2 = 6.12o, b2 = 2.62


one triangle

A = 36.12o, B= 113.88o, b= 22.49


one triangle

A= 143.88o, B= 6.12o, b= 2.62

Answer 16

and any of the answers we solve is there

Answer 17

is not there

Answer 18

Ok, so Angle B is given in the question as 30 degrees. It doesn't match any of the solutions.

Answer 19

I know!

Answer 20

Is there a mix-up in the choices?

Answer 21

nope

Answer 22

Here is what I got when I solved it:

sides:
a=12.3
b=14.5
c=23.783

Angles:
A=25.096
B=30
C=124.903

Answer 23

Sorry, but there is a mix-up in the answer choices.

Answer 24

so what i do :(

Answer 25

Are these computer choices, or paper choices?

Answer 26

computer is an online assigment

Answer 27

The fact that it's not an ambiguous triangle is weird. (SSA). There are normally 2 solutions, but this one only produced 1. Its also none of the provided choices. There must be a mistake somewhere.

Answer 28

Actually hold on on sec.