Law of Sines Practice
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
+2
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 the ratio of the length of a side of a triangle to the sine of its opposite angle is constant for all three sides and angles in the triangle.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
FLASHCARD QUESTION
Front
How do you apply the Law of Sines?
Back
To apply the Law of Sines, use the formula: (a/sin(A)) = (b/sin(B)) = (c/sin(C)), where a, b, and c are the lengths of the sides opposite angles A, B, and C respectively.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
FLASHCARD QUESTION
Front
What is the formula for the Law of Sines?
Back
The formula is: a/sin(A) = b/sin(B) = c/sin(C).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
4.
FLASHCARD QUESTION
Front
When can you use the Law of Sines?
Back
The Law of Sines can be used in any triangle, especially when you know 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
5.
FLASHCARD QUESTION
Front
What is the first step in solving a triangle using the Law of Sines?
Back
Identify the known angles and sides, and determine which formula to use based on the given information.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
FLASHCARD QUESTION
Front
If A = 30°, B = 45°, and a = 10, how do you find b?
Back
Use the Law of Sines: b = (a * sin(B)) / sin(A) = (10 * sin(45°)) / sin(30°) = 14.14.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
FLASHCARD QUESTION
Front
What is the relationship between angles and sides in the Law of Sines?
Back
The larger the angle, the longer the side opposite it; the smaller the angle, the shorter the side opposite it.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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