# How do you solve a triangle given <A=84.2°, <B=20.7°, B=17.2?

##### 1 Answer

*The following diagram represents your problem*

#### Explanation:

**Step 1:**

Since we know an angle opposite a known side, we can use the Sine Rule to solve for side a.

**Step 2:**

We could have done this at first, but let's find angle C. We know that the sum of the three angles in a triangle always equals 180. Therefore, we can set up the following equation:

**Step 3:**

We must now substitute the value of angle C to find side C.

**Summary:**

Your triangle has the following dimensions:

Hopefully this helps!