Section 10.1 Non-right Triangles: Law of Sines Video Quiz

What is the altitude of a triangle?

• A line from a vertex perpendicular to the opposite side

• A line bisecting the angle at the vertex

• A line parallel to one side of the triangle

• A line from a vertex to the midpoint of the opposite side

When can you use the Law of Sines to find a missing angle in a triangle?

• When you know all three sides

• When you know all three angles

• When you know one angle and two sides

• When you know two angles and one side

What type of triangle can result in an ambiguous case?

• A triangle with all sides equal

• A triangle with two equal sides

• A triangle with one right angle

• A triangle with two sides and a non-included angle given

How do you determine if there are two possible triangles in an ambiguous case?

• By checking if the given angle is a right angle

• By checking if the given sides form an isosceles triangle

• By checking if the given sides are equal

• By checking if the sum of the given angle and the supplementary angle is less than 180 degrees

How do you find the area of a triangle using the Law of Sines?

• By multiplying the base and height and dividing by 2

• By using the formula a^2 + b^2 = c^2

• By using the formula 1/2 * a * b * sin(C)

• By using the Pythagorean theorem

What is the value of angle X if 24 sin(55) / 21 is used to find it?

• 69.4 degrees

• 55 degrees

• 24 degrees

• 110.6 degrees

How do you find the area of a triangle with sides 9 and 11 and an included angle of 42 degrees?

• 9 * 11 * sin(42)

• 1/2 * 9 * 11 * sin(42)

• 9 * 11 * cos(42)

• 1/2 * 9 * 11 * cos(42)

What is the diameter of a circle if the radius is found to be 5.06 using the Law of Sines?

• 5.06

• 10.1

• 15.18

• 20.2

How do you find the height of a building if the angle of elevation from two points 250 feet apart are 35 and 53 degrees?

• Using the area formula for triangles

• Using Pythagorean's theorem

• Using only the Law of Cosines

• Using the Law of Sines and basic trigonometry

What is the area of a park with sides 180 feet and 215 feet and an included angle of 80 degrees?

• 19,056 square feet

• 18,000 square feet

• 21,000 square feet

• 20,000 square feet