Exploring the Law of Sines and Law of Cosines

Exploring the Law of Sines and Law of Cosines

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

CCSS
HSG.SRT.D.10, HSG.SRT.D.11

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSG.SRT.D.10
,
CCSS.HSG.SRT.D.11

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is required to extend the use of sine and cosine to non-right triangles?

Right triangle properties

Pythagorean theorem

Algebraic equations

Law of Sines and Law of Cosines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In triangle ABC, if angle A is 48 degrees and side a is unknown, which law would you use to find side a?

Pythagorean theorem

Law of Cosines

Law of Sines

None of the above

Tags

CCSS.HSG.SRT.D.11

CCSS.HSG.SRT.D.10

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct approach to solve for side lengths using the Law of Sines?

Using Pythagorean theorem

Using algebraic simplification only

Using all three angle-side ratios

Using only the known angle-side ratios

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula represents the Law of Cosines?

a/b = sin(A)/sin(B)

sin(A)/a = sin(B)/b = sin(C)/c

a^2 = b^2 + c^2

a^2 = b^2 + c^2 - 2bc * cos(A)

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you solve for side b using the Law of Cosines when you know sides a, c, and angle B?

None of the above

b = sqrt(a^2 + c^2 - 2ac * cos(B))

b^2 = a^2 + c^2 - 2ac * cos(B)

b = a^2 + c^2 - 2ac * cos(B)

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the Law of Cosines reduce to when the angle is a right angle?

Pythagorean theorem

Law of Sines

It does not reduce

Algebraic identity

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving for a side using the Law of Cosines, what is crucial to ensure correct results?

None of the above

Adding the sides first

Multiplying the sides first

Using the correct angle for the formula

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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