In a triangle ABC, the angle is C = 60 degrees, AB = √ 3/5. Find the radius of the circumscribed circle of triangle ABC.
| May 25, 2021 | education
By the condition of the problem, the side and the angle opposite the given side are known. Let’s use the sine theorem and write the equality:
2R = AB / sin C = AB / sin 60 ° = √3 / 5 / √3 / 2 = √3 / 5 * 2 / √3 = 2/5 = 0.4.
R = 2R / 2 = 0.4 / 2 = 0.2.
Answer: the radius of the circumscribed circle is 0.2.
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