# In triangle ABC, angle B is 150 degrees, angle A is 45 degrees. Find the radius of the circle described about

October 8, 2021 | education

| **In triangle ABC, angle B is 150 degrees, angle A is 45 degrees. Find the radius of the circle described about the triangle if AB = 10. **

Determine the value of the angle ACB. Angle ACB = (180 – ABC – BAC) = (180 – 105 – 45) = 30.

Then the radius of the circumscribed circle is:

R = AB / 2 * Sin30 = 10/2 * (1/2) = 10 cm.

Answer: The radius of the circumscribed circle is 10 cm.