Algebra-2

Question Analysis
This problem assesses the ability to use the side ratios in a 30-60-90 triangle to find the longer leg given the hypotenuse.

Key Concept Explanation
In a 30-60-90 triangle, the sides are in the ratio . The hypotenuse is twice the length of the shorter leg, and the longer leg is times the shorter leg.

Step-by-step Solution
1. Identify the given value: the hypotenuse is 19 units.
2. Use the ratio to find the shorter leg: the shorter leg is half the hypotenuse, so the shorter leg is units.
3. Use the ratio to find the longer leg: the longer leg is