Question

Solve the right triangle given a = 9 and b = 12.
Solve the right triangle given b = 5 and c = 7.
Solve the right triangle given a = 8 and A = 50◦
Solve the right triangle given c = 5.6 and B = 17◦
Solve the right triangle given a = 3 and B = 10◦

Answer 1

Answer on Question #74087 - Math - Trigonometry

1. $c = \sqrt{a^2 + b^2}$ .

$$\sin A = a / c.$$ $$\sin B = b / c.$$

2. $a = \sqrt{c^2 - b^2}$ .

$$\sin A = a / c.$$ $$\sin B = b / c.$$

3. $B = 90 - A$ .

$$c = a / \sin A.$$ $$b = c * \sin B.$$

4. $A = 90 - B$ .

$$b = c * \sin B.$$ $$a = c * \sin A.$$

5. $A = 90 - B$ .

$$c = a / \sin A.$$ $$b = c * \sin B.$$

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