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

Front

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

Back

7.5

Front

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

Back

22.8 in.

Front

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

Back

27.54 ft

Front

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

Back

Law of Cosines

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.

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.

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.

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.

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).