Question 1

Given the triangle in the image, if $$\angle B = 25^\circ$$, $$\angle A = 110^\circ$$, and $$c = 3$$, what is the measure of $$\angle C$$?

Accepted Answer

$$\angle C = 45^\circ$$

Question 2

Using the triangle shown, with $$c = 3$$, $$\angle B = 25^\circ$$, and $$\angle A = 110^\circ$$, what is the length of side $$a ($$opposite $$\angle A$$)?

Accepted Answer

$$a = 6.67$$

Question 3

For the triangle in the image, if $$c = 3$$, $$\angle B = 25^\circ$$, and $$\angle A = 110^\circ$$, what is the length of side $$b ($$opposite $$\angle B$$)?

Accepted Answer

$$b = 5.02$$

Question 4

Which law is most appropriate to solve for the unknown sides in the triangle shown, given two angles and the included side?

Accepted Answer

Law of Sines: $$\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$$

Question 5

If $$	riangle ABC$$ has $$c = 3$$, $$\angle B = 25^\circ$$, and $$\angle A = 110^\circ$$, which equation would you use to find $$a$$?

Accepted Answer

$$a = \frac{c \sin A}{\sin C}$$

Solving a Triangle Using Law of Sines and Law of Cosines

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