Trigonometry and Area Quiz

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

• Area = 1/2 * a * b * cos(C)

• Area = 1/2 * a * b * sin(C)

• Area = 1/2 * base * height

• Area = a * b * sin(C)

If a triangle has sides of 8 cm and 6 cm with an included angle of 87 degrees, what is the area?

• 22.0 cm²

• 23.9 cm²

• 24.0 cm²

• 25.0 cm²

For a triangle with sides 6 inches and 5 inches and an included angle of 140 degrees, what is the area?

• 9.6 inches²

• 11.0 inches²

• 10.0 inches²

• 8.5 inches²

What is the area of a triangle with sides 8 yards and 3 yards and an included angle of 98 degrees?

• 12.0 yards²

• 13.0 yards²

• 11.9 yards²

• 10.5 yards²

Calculate the area of a triangle with sides 4 inches and 7 inches and an included angle of 96 degrees.

• 13.9 inches²

• 15.0 inches²

• 14.0 inches²

• 12.5 inches²

What is the area of a triangle with sides 6 yards and 2 yards and an included angle of 10 degrees?

• 1.0 yard²

• 0.5 yard²

• 2.0 yards²

• 1.5 yards²

For a triangle with sides 6 meters and 8 meters and an included angle of 137 degrees, what is the area?

• 18.0 meters²

• 16.4 meters²

• 15.0 meters²

• 17.0 meters²

Calculate the area of a triangle with sides 5 cm and 8 cm and an included angle of 39 degrees.

• 12.6 cm²

• 13.0 cm²

• 11.5 cm²

• 14.0 cm²

What is the area of a triangle with sides 8 feet and 7 feet and an included angle of 30 degrees?

• 16.0 feet²

• 15.0 feet²

• 14.0 feet²

• 13.0 feet²

Which of the following is true about the area calculation using the sine formula?

• It requires the base and height.

• It can be used with any triangle.

• It only works for right triangles.

• It requires two sides and the included angle.