The law of sines
Answers are for parents and teachers.
1
∠A = 30°, ∠C = 90°, c = 14. Find a.
7
2
∠A = 45°, ∠B = 60°, a = 6. Find b.
3√6
3
∠A = 150° and a = 8. What is the circumradius?
8
4
A triangle has angles 30°, 60°, 90° and its shortest side is 4. How long is the longest side?
8
5
Why must a in a/sinA = 2R be the side opposite angle A?
If the side and angle do not correspond the ratio is not tied to R; the theorem is proved for opposite pairs.