SOLUTION: Hi, I am Arun. I have problem in solving triangles. In a triangle ABC, AC is 10, BC is 0.025 and AB is 9.978. And the angle between BCA is said to be 30 degree. I need to find th

Question 933855: Hi,
I am Arun. I have problem in solving triangles. In a triangle ABC, AC is 10, BC is 0.025 and AB is 9.978. And the angle between BCA is said to be 30 degree. I need to find the other two angles. I have used the cosine law of triangles and many other methods. For each method, i am getting a different solution for these two angles CAB and CBA. Can you help me in solving this?.
Thank you. Waiting for your response.
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
In a triangle ABC, AC is 10, BC is 0.025 and AB is 9.978. And the angle between BCA is said to be 30 degree. I need to find the other two angles. I have used the cosine law of triangles and many other methods. For each method, i am getting a different solution for these two angles CAB and CBA. Can you help me in solving this?.
====================
Using the given sides, BCA is not 30 degs, it's ~ 88.8494 degs
Use the Law of Sines to find the other angles.
Angle B = 5.738 degs
Angle A = 85.413 degs
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
check your side ; with given is impossible to get real solution for angle using law of cos:

(result in radians)
� or � which is very small angle

I was trying to find angle using side , side , and angle using law of sin and got these results:

you can get angle �

Angles:
�
�
�
so, IF given angle is , then
or, if you trying to find angle using side , side , and angle must be
results are as following:
Sides:

Angles:
�......I wouldn't prefer this solution because the angle is very, very small
�
�
when you got right sides length, would be possible to find real solutions for angles

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