Law of Sines & Cosines Check

Front

What are the possible criteria for the Law of Sines?

Back

SSA, ASA, AAS

Front

Which Law would you use for solving triangles with two angles and one side known?

Back

Law of Sines

Front

Which Law would you use for solving triangles with two sides and the included angle known?

Back

Law of Cosines

Front

What are the possible criteria for the Law of Cosines?

Back

SSS, SAS

Front

Define 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 its opposite angle is constant for all three sides and angles.

Front

Define 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, useful for finding a side or angle when not all are known.

Front

When would you use the Law of Sines instead of the Law of Cosines?

Back

Use the Law of Sines when you have two angles and one side (AAS or ASA) or two sides and a non-included angle (SSA).

Front

When would 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).

Front

What is the formula for the Law of Sines?

Back

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

Front

What is the formula for the Law of Cosines?

Back

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