Question

HELP!

In the triangle below, b = ___. If necessary, round your answer to two decimal places.

Answer 1

The answer is b=40.01

Explanation:

I just took the test and got a 100%!!

Answer 2

`b=40.01\ units`

Explanation:

we know that

Applying the law of sines

`(b)/(sin(B))=(a)/(sin(A))`

`b=(a)/(sin(A))(sin(B))`

we have

`a=25\ units`

`A=32.5\°`

Find the measure of angle B

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

so

`A+B+C=180\°`

substitute the given values

`32.5\°+B+26.8\°=180\°`

`B=180\°-59.3\°=120.7\°`

Find the length side b

`b=(a)/(sin(A))(sin(B))`

substitute the values

`b=(25)/(sin(32.5\°))(sin(120.7\°))`

`b=40.01\ units`