Law of Sines

Front

What is the Law of Sines?

Back

Front

How do you determine if a set of angles can form a triangle?

Back

A set of angles can form a triangle if the sum of the angles is equal to 180°. For example, the angles 45°, 65°, and 70° can form a triangle because 45° + 65° + 70° = 180°.

Front

What is the sum of the angles in a triangle?

Back

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

Front

If two angles of a triangle are known, how can you find the third angle?

Back

You can find the third angle by subtracting the sum of the known angles from 180°. For example, if the angles are 50° and 70°, the third angle is 180° - (50° + 70°) = 60°.

Front

What is the formula to find an unknown side using the Law of Sines?

Back

Front

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

Back

The Law of Sines establishes a relationship where the ratio of a side length to the sine of its opposite angle is equal for all three sides and angles in the triangle.

Front

How can the Law of Sines be used to solve for an angle?

Back

Front

What is the significance of the sine function in the Law of Sines?

Back

The sine function relates the angles of a triangle to the lengths of its sides, allowing for the calculation of unknown angles or sides when some information is given.

Front

What is an example of using the Law of Sines to find an angle?

Back

Front

What does it mean if the Law of Sines gives two possible angles for A?

Back

If the Law of Sines gives two possible angles for A, it indicates that the triangle could be ambiguous, meaning there are two different triangles that can be formed with the given information.