Law of Sines and all possible angles: a = 72, b = 100, m(A) = 23 degrees

[ElissaHatesMath]

I can't find side c. I've tried multiple strategies and I can't get it

 

[Harry_the_cat]

I can't find side c. I've tried multiple strategies and I can't get it

How did you find c1 in the first case? Did you use the sine rule? Use the same method in the second case.

\(\displaystyle \dfrac{a}{sin A} = \dfrac{c}{sin C}\)

 

[ElissaHatesMath]

How did you find c1 in the first case? Did you use the sine rule? Use the same method in the second case.
\(\displaystyle \frac{a}{sin A} =

\frac{c}{sin C}​

\)

​

I'm using sin(23)/72=sin(9.9)/c. I crossed multiplied and have c=sin(9.9)*72/sin(23). I got 38.9. I'm using the same method.

 

[mmm4444bot]

… c=sin(9.9)*72/sin(23). I got 38.9 …

Your trig expression for c is correct, but the value 38.9 is not. Double-check your calculator; I think it's set to radian measure instead of degrees. :cool:

c = 72 ∙ sin(9.9°)/sin(23°)