Triangle Area Calculation Using Sine Function

This video tutorial explains how to calculate the area of a triangle using the sine function. It introduces the concept by discussing the relationship between the sides and the included angle in different area formulas. The tutorial provides a step-by-step example, demonstrating how to apply the formula and use a calculator to find the area, ensuring the calculator is set to degree mode. The key takeaway is understanding the relationship between the sides and the angle used in the formula, rather than memorizing all formulas.

What is the primary focus when using the sine function to calculate the area of a triangle?

• The length of the hypotenuse

• The relationship between two sides and the included angle

• The perimeter of the triangle

• The type of triangle

In the first formula, which angle is used to calculate the area of a triangle?

• The angle opposite side C

• The angle formed by sides A and B

• The angle opposite side B

• The angle opposite side A

Which sides form angle A in the second formula for calculating the area of a triangle?

• Sides B and D

• Sides A and C

• Sides B and C

• Sides A and B

In the third formula, which angle is formed by sides A and C?

• Angle C

• Angle A

• Angle D

• Angle B

When applying the formula to a specific example, what must be ensured about the angle used?

• It is the largest angle in the triangle

• It is the smallest angle in the triangle

• It is the right angle

• It is the included angle formed by the two sides used

What is the area of the triangle in the given example?

• 60.5 square units

• 75.8 square units

• 80.2 square units

• 90.1 square units

Before calculating the area using a calculator, what mode should the calculator be in?

• Graphing mode

• Radian mode

• Scientific mode

• Degree mode

What is the first step in using a calculator to find the area of a triangle?

• Ensure the calculator is in degree mode

• Calculate the perimeter

• Press the sine button

• Enter the side lengths

What is the formula used in the example to calculate the area of the triangle?

• 1/2 x 12 x 17 x SINE 48 DEGREES

• 1/2 x 16 x 20 x SINE 50 DEGREES

• 1/2 x 10 x 15 x SINE 60 DEGREES

• 1/2 x 14 x 18 x SINE 45 DEGREES

What is the approximate area of the triangle calculated in the example?

• 70.5 square units

• 75.8 square units

• 80.0 square units

• 85.3 square units