Law of Sines and Cosines

Front

If three sides of a triangle are given, the Law of ____ is used to solve the triangle.

Back

Cosines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

In triangle ABC, find side a if: B=70 degrees, A=40 degrees, and c=11.

Back

7.5

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

Find the missing side of the triangle given the sides 10, 15, and x.

Back

22.8 in.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

Calculate the length of AC in triangle ABC where AB=10, BC=15, and angle A=30 degrees.

Back

27.54 ft

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

Which Law would you use to find a side when two sides and the included angle are known?

Back

Law of Cosines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

State the Law of Sines.

Back

The ratio of the length of a side of a triangle to the sine of its opposite angle is constant.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the formula for the Law of Cosines?

Back

c² = a² + b² - 2ab * cos(C) where a, b, and c are the sides of the triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

How do you find the area of a triangle using the Law of Sines?

Back

Area = (1/2) * a * b * sin(C) where a and b are sides and C is the included angle.

Tags

CCSS.HSG.SRT.D.9

Front

What is the relationship between the angles and sides in a triangle according to the Law of Sines?

Back

a/sin(A) = b/sin(B) = c/sin(C) where a, b, c are sides opposite angles A, B, C.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

If angle A = 30 degrees and side a = 10, what is the length of side b if angle B = 60 degrees?

Back

b = 17.32 (using the Law of Sines).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11