Law of Sines and Cosines Quiz

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Test your knowledge on the Law of Sines and Cosines with this fun quiz!

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María Inés Cardona Ibarra

México

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Law of Sines and Cosines QuizVersión en línea Test your knowledge on the Law of Sines and Cosines with this fun quiz! por María Inés Cardona Ibarra 1 What does the Law of Sines relate in a triangle? a The ratios of the lengths of sides to the cosines of their opposite angles. b The angles to the lengths of the sides. c The areas of the triangles to their angles. d The ratios of the lengths of sides to the sines of their opposite angles. 2 Which formula represents the Law of Cosines? a c² = a² + b² + 2ab * cos(C) b c = a + b + C c c² = a² + b² - 2ab * cos(C) d c² = a² - b² + 2ab * cos(C) 3 When can you use the Law of Sines? a When you have one angle and two sides (SSA). b When you have two sides and one angle (SAS). c When you have three sides (SSS). d When you have two angles and one side (AAS or ASA). 4 What is the purpose of the Law of Cosines? a To determine if a triangle is right-angled. b To find the perimeter of a triangle. c To find the area of a triangle. d To find a side or angle in any triangle. 5 In a triangle, if a = 7, b = 10, and C = 60°, what is c using the Law of Cosines? a c ≈ 12.5 b c ≈ 8.66 c c ≈ 5.5 d c ≈ 9.0 6 What is the sine of 90 degrees? a 1 b 0.5 c √2/2 d 0 7 Which triangle can the Law of Sines be applied to? a Only acute triangles. b Only right triangles. c Only obtuse triangles. d Any triangle. 8 If angle A = 30° and angle B = 45°, what is angle C? a C = 90° b C = 75° c C = 60° d C = 105° 9 What is the cosine of 0 degrees? a -1 b 0 c 1 d 0.5 10 In the Law of Sines, what does sin(A)/a equal? a cos(B)/b b sin(B)/b c sin(C)/c d tan(B)/b

Law of Sines and Cosines QuizVersión en línea

Test your knowledge on the Law of Sines and Cosines with this fun quiz!

por María Inés Cardona Ibarra

What does the Law of Sines relate in a triangle?

The ratios of the lengths of sides to the cosines of their opposite angles.

The angles to the lengths of the sides.

The areas of the triangles to their angles.

The ratios of the lengths of sides to the sines of their opposite angles.

Which formula represents the Law of Cosines?

c² = a² + b² + 2ab * cos(C)

c = a + b + C

c² = a² + b² - 2ab * cos(C)

c² = a² - b² + 2ab * cos(C)

When can you use the Law of Sines?

When you have one angle and two sides (SSA).

When you have two sides and one angle (SAS).

When you have three sides (SSS).

When you have two angles and one side (AAS or ASA).

What is the purpose of the Law of Cosines?

To determine if a triangle is right-angled.

To find the perimeter of a triangle.

To find the area of a triangle.

To find a side or angle in any triangle.

In a triangle, if a = 7, b = 10, and C = 60°, what is c using the Law of Cosines?

c ≈ 12.5

c ≈ 8.66

c ≈ 5.5

c ≈ 9.0

What is the sine of 90 degrees?

0.5

√2/2

Which triangle can the Law of Sines be applied to?

Only acute triangles.

Only right triangles.

Only obtuse triangles.

Any triangle.

If angle A = 30° and angle B = 45°, what is angle C?

C = 90°

C = 75°

C = 60°

C = 105°

What is the cosine of 0 degrees?

-1

0.5

In the Law of Sines, what does sin(A)/a equal?

cos(B)/b

sin(B)/b

sin(C)/c

tan(B)/b

Law of Sines and Cosines Quiz

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Law of Sines and Cosines QuizVersión en línea

por María Inés Cardona Ibarra

What does the Law of Sines relate in a triangle?

Which formula represents the Law of Cosines?

When can you use the Law of Sines?

What is the purpose of the Law of Cosines?

In a triangle, if a = 7, b = 10, and C = 60°, what is c using the Law of Cosines?

What is the sine of 90 degrees?

Which triangle can the Law of Sines be applied to?

If angle A = 30° and angle B = 45°, what is angle C?

What is the cosine of 0 degrees?

In the Law of Sines, what does sin(A)/a equal?