H-Law of Sines/Cosines and Area Flashcard

Front

What is the Law of Sines?

Back

Front

What is the Law of Cosines?

Back

Front

How do you determine the number of possible triangles given two sides and an angle?

Back

Use the Law of Sines to check for possible triangles. If the angle is acute, there may be two triangles; if it is right, there is one triangle; if it is obtuse, there is one triangle.

Front

What is the formula for the area of a triangle using two sides and the included angle?

Back

Front

How do you find the area of a triangle with sides of lengths 5m, 7m, and 10m?

Back

Front

What is Heron's formula for the area of a triangle?

Back

Front

What is the significance of the angle in the Law of Sines?

Back

The angle determines the relationship between the sides of the triangle. It helps in finding unknown sides or angles when at least one side and its opposite angle are known.

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) to find an unknown angle or side.

Front

What is the formula for the area of a triangle using three sides?

Back

Front

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

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.