
Exploring the Law of Sines and Law of Cosines

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Sophia Harris
FREE Resource
Standards-aligned
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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