In a triangle ABC, ,, and . Order the lengths of the sides of the triangle descendingly.
Step 1: Find the value of .
Write an equation to show that the sum of the triangle's angle measures is , and solve for .
Step 2: Find the 3 angles measures.
Step 3: Order the side lengths in descending order.
For any triangle, the longest side is opposite to the greatest angle measure, and the shortest side is opposite to the smallest angle measure.
The greatest angle measure is , so is the longest side. The smallest angle measure is , so is the shortest side.
Therefore, the side lengths in descending order are: , , .