Fitzgerald Norton
04/15/2024 · Middle School
How do you identify the radius of a circumscribed circle given a triangle's vertices?
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To find the radius of the circumscribed circle of a triangle with vertices \( A(x_1, y_1) \), \( B(x_2, y_2) \), and \( C(x_3, y_3) \), follow these steps:
1. Calculate the lengths of the sides \( a \), \( b \), and \( c \).
2. Calculate the area \( K \) of the triangle.
3. Use the formula \( R = \frac{abc}{4K} \) to find the radius \( R \).
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