Law of Cosines
Flashcard
•
Mathematics
•
University
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Law of Cosines?
Back
The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. It states that for any triangle with sides a, b, and c, and angle C opposite side c: c² = a² + b² - 2ab * cos(C).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
FLASHCARD QUESTION
Front
When do you use the Law of Cosines?
Back
The Law of Cosines is used when you know 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
3.
FLASHCARD QUESTION
Front
What is the formula for the Law of Cosines?
Back
The formula is: c² = a² + b² - 2ab * cos(C).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
4.
FLASHCARD QUESTION
Front
How do you find the missing side using the Law of Cosines?
Back
To find a missing side, rearrange the Law of Cosines formula to solve for the unknown side.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
5.
FLASHCARD QUESTION
Front
What is the relationship between the Law of Cosines and the Law of Sines?
Back
The Law of Sines is used for finding unknown angles or sides in triangles 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
6.
FLASHCARD QUESTION
Front
If a = 15, b = 12, and C = 115°, how do you find side c?
Back
Use the Law of Cosines: c² = 15² + 12² - 2(15)(12)cos(115°).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
FLASHCARD QUESTION
Front
What is the cosine of 115°?
Back
The cosine of 115° is approximately -0.4226.
Tags
CCSS.HSG.SRT.C.7
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