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Deriving the Law of Cosines

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

Deriving the Law of Cosines
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If three sides of a triangle are given, the Law of ____ is used to solve the triangle.

Cosines

Sines

Tangent

Cosecents

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find angle Z

20.15°

71.23°

51.06°

57.71°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Use Law of Cosines to find angle T

62.2°

53.1°

59.5°

64.7°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find XZ

16.004 meters

544.165 meters

34.7 meters

1204.165 meters

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the distance across the river? The two sides are 4.15 miles and 5.33 miles. The included angle measure is 37 degrees.

2.9 miles

3.2 miles

3.6 miles

3.9 miles

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

6.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

​ (a)   ​​ 4. Which law should I use for the given triangle?

Law of Sines AFTER testing for #of Triangles

Law of Sines then switch to Law of Cosines

Law of Sines only

None, use Right Triangle Trig

Law of Cosines only

Law of Cosines then switch to Law of Sines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find QR

34.7 km

2.2 km

13.74

31.1 km

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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