Law of Sines and Cosines L
Flashcard
•
Mathematics
•
11th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Law of Sines used for?
Back
The Law of Sines is used to find unknown lengths and angles in non-right triangles.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
FLASHCARD QUESTION
Front
State the Law of Sines formula.
Back
The Law of Sines states that (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
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
State the Law of Cosines formula.
Back
The Law of Cosines states that c² = a² + b² - 2ab*cos(C), where a, b, and c are the lengths of the sides of the triangle and C is the included angle.
Tags
CCSS.HSG.SRT.D.11
CCSS.HSG.SRT.D.10
5.
FLASHCARD QUESTION
Front
How do you find the length of a side using the Law of Cosines?
Back
Rearrange the Law of Cosines formula to solve for the unknown side.
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 of the triangle.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
FLASHCARD QUESTION
Front
What is the significance of the angle sum property in triangles?
Back
The sum of the interior angles of a triangle is always 180 degrees.
Tags
CCSS.8.G.A.5
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