In a 30-60-90 triangle, if the hypotenuse is 24 units, the length of the longer leg isunits.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to use the side ratios in a 30-60-90 triangle to find the longer leg.
Key Concept Explanation
In a 30-60-90 triangle, the hypotenuse is twice the length of the shorter leg, and the longer leg is times the shorter leg. The ratio of the sides is .
Step-by-step Solution
1. Identify the given hypotenuse: 24 units
2. Use the ratio to find the shorter leg:
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