# B=20° C=75° b=5 solve the triangle?

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When I set up the equation using law of sines it looked like this 5/sin(20)=x/sin(75)

then x=-2.124 what did I do wrong?

When I set up the equation using law of sines it looked like this 5/sin(20)=x/sin(75)

then x=-2.124 what did I do wrong?

##### 1 Answer

#### Explanation:

**You're calculator is in radians! That's why. It should be in degrees. **

You are on the right track however!

Let's draw the triangle [Note: This is not to scale]:

The missing angle can be found by knowing that the sum of the internal angles of any triangle is always equal to

So

The law of sines states:

We know:

What we want to know is

We can find the missing sides using the law of sines. So to find

Pluggin in what we know:

Similarly for