Law of Sines Practice
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
+4
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Law of Sines?
Back
The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. It can be expressed as: a/sin(A) = b/sin(B) = c/sin(C).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
FLASHCARD QUESTION
Front
How do you use the Law of Sines to find an unknown side?
Back
To find an unknown side using the Law of Sines, rearrange the formula to isolate the side: a = (b * sin(A)) / sin(B).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
FLASHCARD QUESTION
Front
What is the formula for the area of a triangle using the Law of Sines?
Back
The area (A) of a triangle can be calculated using the formula: A = (1/2) * a * b * sin(C), where a and b are two sides and C is the included angle.
Tags
CCSS.HSG.SRT.D.9
4.
FLASHCARD QUESTION
Front
What is the relationship between angles and sides in a triangle?
Back
In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.
Tags
CCSS.HSG.CO.C.10
5.
FLASHCARD QUESTION
Front
How can you determine if a triangle is solvable with the Law of Sines?
Back
A triangle is solvable with the Law of Sines if you have either two angles and one side (AAS or ASA) or two sides and a non-included angle (SSA).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
FLASHCARD QUESTION
Front
What does it mean if a triangle has no solution using the Law of Sines?
Back
If a triangle has no solution, it means that the given information does not correspond to a valid triangle, often occurring in SSA cases where the angle does not allow for a triangle to be formed.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
FLASHCARD QUESTION
Front
What is the significance of the ambiguous case in the Law of Sines?
Back
The ambiguous case occurs in SSA situations where two different triangles may be possible, one triangle, or no triangle at all, depending on the given values.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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