Law of Sines/Cosines Review

Front

What is the Law of Cosines formula?

Back

c² = a² + b² - 2ab cos(C)

Front

What criteria can be used with the Law of Cosines?

Back

SSS (Side-Side-Side) and SAS (Side-Angle-Side)

Front

When would you use the Law of Cosines?

Back

When you have two sides and the included angle (SAS) or all three sides (SSS) of a triangle.

Front

What is the Law of Sines formula?

Back

(a/sin(A)) = (b/sin(B)) = (c/sin(C))

Front

What criteria can be used with the Law of Sines?

Back

ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSA (Side-Side-Angle) when specific conditions are met.

Front

What is the relationship between the sides and angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

How do you find the length of a side using the Law of Cosines?

Back

Rearrange the formula: c = √(a² + b² - 2ab cos(C))

Front

What is the significance of the cosine of an angle in the Law of Cosines?

Back

It relates the lengths of the sides of a triangle to the cosine of one of its angles.

Front

What is the Law of Sines used for?

Back

To find unknown angles or sides in a triangle when given sufficient information.

Front

What is an example of using the Law of Cosines?

Back

Given a triangle with sides a=5, b=7, and angle C=60°, find side c.