In a triangle , , , and .
Put its sides in ascending order according to their lengths.
Step 1: Find the value of .
Write an equation that shows that the sum of the triangle's three angle measures is . Solve for the value of .
Step 2: Find the measure of each angle.
Step 3: Use the angle measures to order the lengths.
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 ascending order are: , , .