Angles B and C are respectively 67 and 83 degrees. Find BC if the radius of a circle circumscribed about triangles. ABC is 16.
| January 13, 2021 | education
A = 180 – 83 – 67;
A = 37;
Radius of the circumscribed circle:
R = BC / 2 * sin A = AC / 2 * sin B = AB / 2 * sin C;
Thus, we can substitute only in the sun.
Let’s transform:
R = BC / 2 * sin A = BC / 2 * sin 30 = BC / 2 * 1/2 = BC;
Thus, BC = R = 16 cm.
Answer: BC = R = 16 cm.
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