Law of Cosine
Flashcard
•
Mathematics
•
9th - 12th Grade
•
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 is expressed as: c² = a² + b² - 2ab cos(C), where c is the side opposite angle C.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
FLASHCARD QUESTION
Front
What is the formula for the Law of Cosines?
Back
c² = a² + b² - 2ab cos(C)
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
FLASHCARD QUESTION
Front
How do you find the length of a side using the Law of Cosines?
Back
To find the length of a side, rearrange the Law of Cosines formula to solve for the desired side.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
4.
FLASHCARD QUESTION
Front
What is the relationship between the sides and angles in a triangle according to the Law of Cosines?
Back
The Law of Cosines shows that the square of the length of one side is equal to the sum of the squares of the other two sides minus twice the product of those sides and the cosine of the included angle.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
5.
FLASHCARD QUESTION
Front
How can the Law of Cosines be used to find an angle in a triangle?
Back
To find an angle, rearrange the Law of Cosines formula to isolate the cosine of the angle, then use the inverse cosine function.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 7, 8, and 9, how can you find the angle opposite the side of length 9?
Back
Use the Law of Cosines: cos(C) = (a² + b² - c²) / (2ab), where a = 7, b = 8, and c = 9.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
FLASHCARD QUESTION
Front
What is the significance of the cosine function in the Law of Cosines?
Back
The cosine function relates the angle of the triangle to the lengths of the sides, allowing for the calculation of unknown angles or sides.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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