# How do you use law of sines to solve the triangle given A = 57° , a = 11, b = 10?

##### 1 Answer

#### Explanation:

**First, you should know what the Law of Sines is. It is simply this:**

**Now let's look at our given. We have:**

We need to look for

**Step 1 - Solving for #B#**

*Law of Sines*

*Plug in the values of #A#, #a#, and #b#.*

*Multiply both sides by #(sinB)[sin(57°)]#.*

*Divide both sides by #11#.*

*Apply #arcsin# on both sides.*

**Step 2 - Solving for #C#**

*The sum of the interior angles of all triangles is #180°#.*

*Isolate #C#.*

*Plug in the values of #A# and #B#.*

**Step 3 - Solving for #c#**

*Law of Sines*

*Multiply both sides by #sinC#*

*Plug in the values of #A#, #a#, and #C#.*