Question 1

In a triangle ABC, if angle A is 90 degrees and a = 3, b = 4, what is the length of side c using the law of sine and cosine?

Accepted Answer

<math>c = 5</math>.

Answer

Answer

Answer

Question 2

In triangle ABC, side a = 7 cm, side b = 10 cm, and angle C = 45 degrees. Which formula allows you to find the length of side c?

Accepted Answer

Law of Cosines:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

.

Answer

Pythagorean Theorem:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

Answer

Heron\'s Formula:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

Answer

Law of Sines:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

Question 3

Given a triangle ABC with sides a = 8, b = 6, and c = 7, which formula would you use to find angle A?

Accepted Answer

Law of Cosines:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

.

Answer

Area of a Triangle:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

Answer

Law of Sines:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

Answer

Pythagorean Theorem:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

Question 4

Triangle JKL is an isosceles triangle with sides j = 8 and k = 8, and angle J = 40 degrees. Which formula would you use to find side l?

Accepted Answer

Law of Cosines:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

.

Answer

Area of a Triangle:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

Answer

Pythagorean Theorem:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

Answer

Law of Sines:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

Question 5

In triangle PQR, side p = 9, side q = 5, and angle Q = 120 degrees. Which formula should be used to find side r?

Accepted Answer

Law of Cosines:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

.

Answer

Law of Sines:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

Answer

Area of a Triangle:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

Answer

Pythagorean Theorem:

c^2 = a^2 + b^2 - 2ab \cdot \cos(C)

Question 6

It is an acronym used to memorize steps in solving problems involving oblique triangles

Accepted Answer

DLIS.

Answer

SOHCAHTOA

Answer

JFK

Answer

SHOSHACAO

Question 7

______ an illustration of the given word problem

Accepted Answer

DRAW.

Question 8

______ the parts of a triangle created from the given word problem

Accepted Answer

Label.

Answer

Identify

Answer

Draw

Answer

Create

Question 9

______ the case illustrated from the created triangles. Determine wether law of sine or law of cosine will be used

Accepted Answer

Identify

Answer

Solve

Answer

Label

Answer

Draw

Question 10

_______ for what is being find

Accepted Answer

Solve.

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