Understanding the Law of Sines and Triangle Area

What is the primary use of the Law of Sines?

• To find the hypotenuse of a right triangle

• To calculate the area of a circle

• To solve non-right triangles

• To solve right triangles

Which formula is used to find the area of a triangle when the height is not given?

• Side A times Side B times the sine of the included angle

• Base times height divided by 2

• Side A times Side B times the cosine of the included angle

• Base times height

What is the sine of angle A over side A equal to in the Law of Sines?

• The sine of angle C over side C

• The tangent of angle B over side B

• The cosine of angle B over side B

• The sine of angle B over side B

How do you find the missing angle in a triangle using the Law of Sines?

• Divide the known angles by 2

• Multiply the known angles

• Subtract the known angles from 180

• Add all angles and subtract from 360

What is the first step in solving for a missing side using the Law of Sines?

• Set up a proportion using the known angles and sides

• Add all sides together

• Subtract the known sides

• Multiply the known sides

In the example problem, what is the calculated value of side D?

• 21.5

• 19.2

• 17.4

• 15.0

What is the calculated value of side E in the example problem?

• 25.3

• 27.9

• 32.5

• 30.1

What should you always check after calculating the area of a triangle?

• The perimeter of the triangle

• The color of the triangle

• The type of triangle

• The units of measurement

What is the area of a triangle with sides 2.13, 2.96, and an included angle of 73 degrees?

• 3.01

• 4.5

• 5.2

• 6.0

What is the final step in solving for a side using the Law of Sines?

• Add the known sides

• Divide by the sine of the known angle

• Multiply by the sine of the known angle

• Subtract the known sides