In a 30-60-90 triangle, if the longer leg isunits, the length of the hypotenuse isunits.
Answer & Analysis
Analysis
Question Analysis
This problem tests the ability to use the side ratios in a 30-66-90 triangle to find the hypotenuse given the longer leg.
Key Concept Explanation
In a 30-60-90 triangle, the sides are in the ratio . The longer leg is times the shorter leg, and the hypotenuse is twice the shorter leg.
Step-by-step Solution
1. Identify the given value: the longer leg is units.
2. Use the ratio to find the shorter leg: the longer leg is
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