Area of Triangle 1/2absinC c

The video tutorial explains the derivation of the triangle area formula 1/2 ab sin C. It begins by introducing the formula and describing the triangle's components, including vertices and sides. The derivation process involves using the basic area formula 1/2 base times height and applying trigonometric principles, specifically SOHCAHTOA, to express the height in terms of the sine of angle C. The final step involves substituting this expression into the area formula to arrive at the desired formula.

What are the vertices of the triangle discussed in the video?

• P, Q, and R

• A, B, and C

• X, Y, and Z

• A, B, and D

What is the traditional formula for the area of a triangle?

• base times height

• 1/2 base times height

• 1/3 base times height

• base plus height

Why is it necessary to eliminate the height variable from the traditional area formula?

• To make the formula more complex

• Because height is not present in the sine formula

• To simplify the formula

• Because height is difficult to measure

In the context of the video, what does SOHCAHTOA help to determine?

• The perimeter of the triangle

• The relationship between height and sine

• The angle of vertex B

• The length of side A

What is the final formula for the area of a triangle derived in the video?

• ab sin C

• 1/2 ab sin C

• 1/2 a sin C

• 1/2 ab cos C