Law of Cosines
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Law of Cosines used for?
Back
The Law of Cosines is used to find a side or angle in a triangle when two sides and the included angle are known, or when all three sides are known.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
FLASHCARD QUESTION
Front
State the Law of Cosines formula.
Back
The Law of Cosines formula is: c² = a² + b² - 2ab * cos(C), where a and b are the lengths of the sides, C is the included angle, and c is the side opposite angle C.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
FLASHCARD QUESTION
Front
When should you use the Law of Cosines instead of the Law of Sines?
Back
Use the Law of Cosines when you have two sides and the included angle (SAS) or all three sides (SSS) of a triangle.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
4.
FLASHCARD QUESTION
Front
What is the Law of Sines used for?
Back
The Law of Sines is used to find unknown angles or sides 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
5.
FLASHCARD QUESTION
Front
State the Law of Sines formula.
Back
The Law of Sines formula is: 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
6.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides in a triangle according to the Law of Sines?
Back
The ratio of the length of a side to the sine of its opposite angle is constant for all three sides and angles in a triangle.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
FLASHCARD QUESTION
Front
How do you find the missing side using the Law of Cosines?
Back
To find a missing side using the Law of Cosines, rearrange the formula to solve for the unknown side, substituting the known values for the other sides and the included angle.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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