Finding Area with Trigonometry

How can you use sine to find the area of a triangle?

• Using sine to find the perimeter instead of the area

• Multiplying the base by sine instead of the height

• Dividing the base by sine instead of multiplying by 0.5

• You can use sine to find the height of the triangle, and then use the formula for the area of a triangle: Area = 0.5 * base * height.

Find the area to the nearest tenth.

• A

• B

• C

• D

In a triangle with sides of length 5, 7, and 9 units, what is the area of the triangle?

• The Law of Sines cannot be used to calculate the area of a triangle.

• The area of the triangle is 10 square units.

• The area of the triangle is 25.5 square units.

• The area of the triangle is approximately 15.47 square units.

What is the formula for finding the area of a triangle using sine?

• a * b * sin(C)

• (1/2) * a * b * cos(C)

• (1/2) * a * b * tan(C)

• (1/2) * a * b * sin(C)

Find the Area of ΔPQR:

• 6 km²

• 12 km²

• 608.6 km²

• 21.6 km²

What is the area of the provided triangle?

• 66.24

• 132.49

• 41.58

• 81.36

Find the Area of ΔPQR:

• 6 km²

• 12 km²

• 608.6 km²

• 21.6 km²

Find the exact area of the triangle

• 13.9 in²

• 13.8 in²

• 14.0 in²

• 27.9 in²

Find the area to the nearest tenth.

• A

• B

• C

• D

Given a triangle with sides of length 6, 8, and 10 units, what is the area of the triangle?

• The Law of Sines cannot be used to find the area of a triangle.

• The area of the triangle is 24 square units.

• The area of the triangle is 30 square units.

• The area of the triangle is 12 square units.