Law of Sines & Cosines Practice
Flashcard
•
Mathematics
•
11th Grade
•
Hard
+2
Standards-aligned
Wayground Content
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14 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 the angle opposite that side is constant for all three sides and angles in the triangle. Formula: a/sin(A) = b/sin(B) = c/sin(C).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
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 used to find a side when two sides and the included angle are known. Formula: c² = a² + b² - 2ab*cos(C).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
FLASHCARD QUESTION
Front
When do you use the Law of Sines?
Back
Use the Law of Sines 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
4.
FLASHCARD QUESTION
Front
When do you use the Law of Cosines?
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
5.
FLASHCARD QUESTION
Front
Calculate the length of side c in a triangle with sides a = 6 m, b = 8 m, and included angle C = 137°.
Back
c = 13.0 m.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
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
7.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 7, 24, and 25, is it a right triangle?
Back
Yes, because 7² + 24² = 25² (49 + 576 = 625).
Tags
CCSS.8.G.B.8
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