Law of Sines Practice
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
+1
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. It is 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
When can the Law of Sines be used?
Back
The Law of Sines can be used to solve for unknown sides or angles in a triangle when 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
3.
FLASHCARD QUESTION
Front
What is the formula for finding 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)ab sin(C), where a and b are the lengths of two sides and C is the included angle.
Tags
CCSS.HSG.SRT.D.9
4.
FLASHCARD QUESTION
Front
If A=65°, C=65°, and a=12, what is B?
Back
B = 50°.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
5.
FLASHCARD QUESTION
Front
If A=65°, C=65°, and a=12, what is b?
Back
b = 10.1.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
FLASHCARD QUESTION
Front
If A=65°, C=65°, and a=12, what is c?
Back
c = 12.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides in a triangle according to the Law of Sines?
Back
The Law of Sines shows that the ratio of a side length to the sine of its opposite angle is the same for all three sides and angles in the triangle.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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