In a 45-45-90 triangle, if the hypotenuse is 14 units, then the length of each leg isunits.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of the properties of a 45-45-90 triangle and the use of the cosine function.
Key Concept Explanation
In a 45-45-90 triangle, the legs are congruent, and the hypotenuse is times the length of each leg. We can use the cosine of 45 degrees, which is , to find the length of each leg.
Step-by-step Solution
1. Use the cosine of 45 degrees:
2. Set up the equation:
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