Finding the Area of a Triangle Using Coordinates of Vertices

The video tutorial explains how to calculate the area of a triangle using the coordinates of its vertices. It introduces the concept of dividing the triangle into trapeziums to simplify the calculation. The tutorial provides a step-by-step guide to finding the areas of these trapeziums and deriving the formula for the triangle's area. A simple trick is shared to help remember the formula, followed by an example to demonstrate its application.

What is the initial step in finding the area of a triangle using its vertices' coordinates?

• Finding the midpoint of each side

• Calculating the perimeter of the triangle

• Drawing a circle around the triangle

• Dividing the triangle into trapeziums

Which of the following is NOT a length calculated to find the area of trapeziums?

• Length EF

• Length FG

• Length CG

• Length AB

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

• Base times height

• Sum of all sides

• Half into sum of parallel sides times distance between them

• Length times width

How is the area of triangle ABC calculated using the trapezium areas?

• By adding all trapezium areas

• By dividing the sum of trapezium areas by two

• By subtracting the third trapezium area from the sum of the first two

• By multiplying the trapezium areas

What is the trick mentioned to remember the formula for the area of a triangle?

• Using a mnemonic device

• Writing numbers 1, 2, 3 in a specific pattern

• Memorizing a poem

• Drawing a diagram

In the example given, what are the coordinates of point B?

• (4, 5)

• (6, 4)

• (2, 3)

• (3, 6)

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

• 11 square units

• 22 square units

• 5.5 square units

• 11/2 square units