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# Math: law of sines, hw help?

Is my answer correct or incorrect?

Keep in mind I may or may not use the correct answer, Don’t be afraid to disagree! Also if the answer is wrong show me how to get to the right answer!

### 4 Answers

- Engr. RonaldLv 74 months agoFavorite Answer
..a.............b

-------- = ----------

..sin(A)....sin(B)

..20.........b

------- = --------

..2/3........4/5

16 = 2/3b

b = 24 Answer//

I am sad that your answer is incorrect.

The correct answer is B. 24

- la consoleLv 74 months ago
Whatever the triangle, you can apply the Law of sines.

https://en.wikipedia.org/wiki/Law_of_sines

a/sin(A) = b/sin(B) = c/sin(C) ← adapt it to your case in the triangle ABC

20/(2/3) = b/(4/5) = c/sin(C)

You start the seond equation:

20/(2/3) = b/(4/5)

b = [20/(2/3)] * (4/5)

b = 20 * (3/2) * (4/5)

b = (20 * 3 * 4)/(2 * 5)

b = 24

- KrishnamurthyLv 74 months ago
In ΔABC, sin A = 2/3, sin B = 4/5, and side a = 20.

Find side b.

a / sin A = b / sin B

20 / (2/3) = b / (4/5)

30 = 5b / 4

b = 24

Answer choice:

B. 24