In triangle abc, angle b = 105, angle a = 45. Find the radius of a circle circumscribed about a triangle if ab = 10.
| November 27, 2020 | education
Given:
abc – triangle
∠b = 105 °
∠a = 45 °
ab = 10.
Find: R -?
Decision:
∠с = 180 ° -105 ° -45 ° = 30 °
2R = 10 / sin30 ° = 20 °
R = 10
Answer: The radius of the circle described around the triangle is 10.
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