Understanding the Law of Sines

What is an oblique triangle?

• A triangle with all sides equal

• A triangle with one right angle

• A triangle with no right angles

• A triangle with two equal angles

How many parts of a triangle must be known to solve an oblique triangle?

• At least two sides

• At least one side and two other parts

• All three angles

• All three sides

Which scenarios can be solved using the Law of Sines?

• Side-Side-Side and Angle-Side-Angle

• Side-Side-Side and Side-Angle-Side

• Side-Angle-Side and Angle-Side-Angle

• Side-Angle-Angle and Angle-Side-Angle

In the derivation of the Law of Sines, what is the relationship between the height and the sides of the triangle?

• Height is equal to the difference of the sides

• Height is equal to the product of a side and the sine of the opposite angle

• Height is equal to the cosine of the angle

• Height is equal to the sum of the sides

What does the Law of Sines state about the ratio of a side and the sine of its opposite angle?

• It is equal to the ratio of another side and the sine of its opposite angle

• It is equal to the sum of the other sides

• It is equal to the product of the other sides

• It is equal to the cosine of the angle

How can the Law of Sines be generalized for any triangle?

• By using the cosine of the angles

• By using the tangent of the angles

• By using the ratio of sides to the sine of their opposite angles

• By using the sum of the angles

What is the significance of the angle and the side opposite it in the Law of Sines?

• They form a right angle

• They are unrelated

• They are used to calculate the height

• They are used in the ratio that defines the Law of Sines

Which of the following is a correct expression of the Law of Sines?

• sin A / a = sin B / b = sin C / c

• a + b = c

• A + B + C = 180

• a^2 + b^2 = c^2

What should you do after understanding the derivation of the Law of Sines?

• Ignore the next video

• Watch the next video for examples

• Forget about the Law of Sines

• Memorize the derivation

What is the next step after learning the Law of Sines?

• Learn the Law of Cosines

• Learn about right triangles

• Learn about quadrilaterals

• Learn about circles