Law of Sines and Law of Cosines — a Deeper Look - Quiz Quiz

Question 1

Which equation here is a true statement about triangle ABC ?

Revolt · Accepted Answer

B: sine cap c is equal to h over A

Question 2

What is the measure of angle cap r in triangle QRS shown, given r is equal to 10 , q is equal to 20 , and cap q is equal to 100 degrees ? Round the answer to the nearest tenth.

Revolt · Accepted Answer

B: 29.5 degrees

Question 3

To start the proof of the Law of Cosines, an altitude is constructed. Which of the following is formed due to the construction of the altitude in a non-right triangle?

Revolt · Accepted Answer

C: two right triangles

Question 4

Which equation represents the Law of Sines for triangle ABC ?

Revolt · Accepted Answer

D: sine cap A over A is equal to sine cap b over b

Question 5

Sophia wants to solve for the side length of b Which equation could Sophia use to solve for the side length of b , given the other two side lengths and the measure of their included angle?

Revolt · Accepted Answer

B: b squared is equal to A squared plus c squared minus 2 A c cosine cap b

Question 6

Solve the Law of cosines: c squared is equal to A squared plus b squared minus 2 A b cosine cap c for cosine cap c .

Revolt · Accepted Answer

C: cosine cap c is equal to the fraction with numerator A squared plus b squared minus c squared and denominator 2 A b

Question 7

Solve the Law of cosines: c squared is equal to A squared plus b squared minus 2 A b cosine cap c for cosine cap c .

Revolt · Accepted Answer

B: cosine cap c is equal to the fraction with numerator A squared plus b squared minus c squared and denominator 2 A b

Question 8

Which equation represents the Law of Sines for triangle ABC ?

Revolt · Accepted Answer

A: sine cap A over A is equal to sine cap b over b

Question 9

Which equation represents the Law of Sines for triangle ABC ?

Revolt · Accepted Answer

A: sine cap A over A is equal to sine cap b over b

Question 10

To start the proof of the Law of Cosines, an altitude is constructed. Which of the following is formed due to the construction of the altitude in a non-right triangle?

Revolt · Accepted Answer

A: two right triangles

Law of Sines and Law of Cosines — a Deeper Look - Quiz Quiz Answers

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