SOLUTION: Solve the triangle for A = 36°, B = 98°, c = 16.

Algebra.Com
Question 1076218: Solve the triangle for
A = 36°, B = 98°, c = 16.

Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Solve the triangle for
A = 36°, B = 98°, c = 16.
=============
Step 1, find the 3rd angle.
Then use the Law of Sines.
===========
It's arithmetic.

Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!


We find the third angle C by the fact that the three angles
of any triangle must have sum 180°.

 A  +  B  + C = 180°
36° + 98° + C = 180°  
     134° + C = 180°
            C = 46°

So we fill in angle C as 46°

 

Next we use the law of sines:



We substitute what we know so far:

eq. 1:  

Using the 1st and 3rd expressions of eq. 1:



Cross-multiply:





Guess we'll just round that off to a = 13.1, and fill that in:

 


Using the 2nd and 3rd expressions of eq. 1:



Cross-multiply:





Guess we'll just round that off to b = 22.0  and fill that in:



And now we're done.

Edwin


RELATED QUESTIONS

Use the given information to solve the triangle for A = 36°, B = 98°, c = 16 (answered by Edwin McCravy)
Please help me solve the triangle for A = 36°, B = 98°, c =... (answered by Boreal,stanbon)
Solve the triangle. a=16   c=5   B=65degrees... (answered by Alan3354)
Solve the triangle for a = 4, b = 8, c =... (answered by Alan3354)
Solve the triangle ABC. (using the law of cosines)... (answered by Alan3354,ikleyn)
This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts... (answered by MathLover1)
Perimeter of triangle solve for c:... (answered by jim_thompson5910)
solve each formula for the specified variable: perimeter of triangle P=a+b+c for b... (answered by MathLover1)
Solve for x: √(x-6) - √(x-6) = 36 @ A quick examination of the problem... (answered by vleith)