5. solve the following triangle for all missing sides and angles.
part i: what is the measure of angle a?
part ii: use the law of sines to find the length of side a.
part iii: use the law of cosines to find the length of side b.
50 . make it simple, you can just give me the answer without explaining. !

Part I : 100°

Part II : a = 29.2

Part III : b = 20.95

Step-by-step explanation:

See the attached diagram of the triangle.

Part I: ∠ A = 180° - ∠ B - ∠ C = 180° - 45° - 35° = 100°

Part II: Now, applying the law of sines, we have

⇒

⇒

⇒ a = 29.2 (Answer)

Part III: Now, applying law of cosine, we have  

b = a cos 35° + c cos 100° = 29.2 cos 35° + 17 cos 100° = 20.95 (Answer)

Step-by-step explanation:

Given:-

Solution:-

1] To find Measure of ∠A=?

Solution:-

2] To find length of side a using sines law

Solution:-

------------------------------ (equation 1)

3] To find length of side b using cosines law

Solution:-

 ----------------------------(from equation )

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a