Question 1

Which of the following mathematical statements correctly represents the Law of Sines for a triangle with angles A, B, and C and their opposite sides a, b, and c?

Accepted Answer

\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}

Answer

\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}

Answer

\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}

Answer

\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}

Question 2

Which of the following conditions allows you to use the Law of Sines to solve for the missing parts of a triangle?

Accepted Answer

When two angles and any one side are known (AAS or ASA).

Answer

When only the measures of the three sides (SSS) are known.

Answer

When two sides and the included angle (SAS) are known.

Answer

When only the measures of the three angles (AAA) are known.

Question 3

In △ABC, the following are given:

∠A = 40°

∠B = 65°

a = 10 cm

Find the length of side b.

Accepted Answer

Answer

15.6 cm

Answer

12.5 cm

Answer

13.8 cm

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