In triangle ABC, angle B is 56 degrees, angle C is 64 degrees, BC = 3√3. Find the radius of the circle circumscribed about this triangle.
It is known that the angle A of the triangle ABC is 60 °.
In order to understand why you need to draw up a formula of the following form:
A = 180 ° – angle B – angle C;
A = 60 °.
Now we find the radius of the circumscribed circle using the following formula:
R = ВС / 2 * sin a;
R = 3.
Answer: R = 3.
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