solve for the remaiing side and angles if possible round the answer to two decimal places if not possible enter impossible

Question

Angle A=50° 

Side a=26

Side b=13

Answer 1

Use Law of Sines to determine ∠B.

Use Sum of Angle measures to determine ∠C

Use Law of Sines to determine c.

Answer 2

Answer 3

b=32.37346

B = 107.479 degrees

A= 22.521 degrees

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punch in 1 angle and 2 sides and out pops the other 2 angles and 1 side

It does all the work for you

Answer 4

Since this is a SSA condition, the Law of Sines is not to be trusted so I would use the Law of Cosines.

26² = 13² + c² - 2(13)(c)cos(50°)

c² - 16.7124c - 507 = 0

Using the quadratic formula c = 32.373 or c = -15.661

We can throw out the negative answer since negative lengths are not possible.

You can again apply the Law of Cosines to get either angle C or angle B. I'll apply it to calculate angle C:

32.373² = 13² + 26² - 2(13)(26)cos(C)

203.04 = -676cos(C)

cos(C) = -0.300

m∠C = 107.48°

Therefore m∠B = 180 - 107.48° - 50° = 22.52°