Area Of A Triangle 1/2absinC

The video tutorial explains how to calculate the area of a triangle using both the traditional base and height method and an alternative formula involving two sides and the angle between them. It provides examples and demonstrates the use of the sine and cosine rules to solve more complex problems. The tutorial emphasizes the importance of showing all work for full credit and invites viewers to explore the proof of the alternative formula.

What is the basic formula for calculating the area of a triangle?

• Base multiplied by width

• Height multiplied by width

• Length multiplied by width

• Base multiplied by height

When the perpendicular height is not available, what additional information is needed to calculate the area of a triangle?

• Three sides

• Two sides and the angle between them

• One side and one angle

• Two angles and one side

In the example provided, what was the calculated area of the triangle using the alternative method?

• 4.82 cm²

• 143.8 cm²

• 11.12 cm²

• 35 cm²

What is the first step in using the sine rule to find a missing side of a triangle?

• Use the cosine rule

• Calculate the area

• Find the perpendicular height

• Label the sides and angles

What was the final calculated area of the triangle after using the sine rule to find the missing side?

• 4.82 cm²

• 35 cm²

• 143.8 cm²

• 11.12 cm²