In a 45-45-90 triangle, if the hypotenuse is 12 units, then the length of each leg (adjacent side) isunits.
Answer & Analysis
Analysis
Question Analysis
This problem tests the understanding of the properties of a 45-45-90 triangle and the application 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. The cosine of 45 degrees is , which can be used to find the length of the legs.
Step-by-step Solution
1. Use the property of a 45-45-90 triangle: hypotenuse =
2. Set up the equation:
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