Understanding the Area of a Triangle

The video tutorial explains how to calculate the area of a triangle by determining how many square units fit inside it. It introduces the formula for the area as one-half times the base times the height. An example is provided with a triangle having a base of 12 meters and a height of 6 meters. The calculation is simplified by identifying common factors, resulting in an area of 36 square meters.

What does the area of a triangle represent?

• The length of the base of the triangle

• The height of the triangle

• The perimeter of the triangle

• The number of square units that fit inside the triangle

Which of the following is the correct formula for the area of a triangle?

• Base plus height

• Base times height

• Base divided by height

• One-half times base times height

How can the area formula be alternatively expressed?

• Base times height multiplied by two

• Base times height minus one

• Base times height divided by two

• Base times height plus two

What is the base length of the triangle used in the example?

• 12 meters

• 6 meters

• 18 meters

• 24 meters

What is the height of the triangle in the example?

• 12 meters

• 9 meters

• 6 meters

• 3 meters

Why is it important to leave units in the product when calculating area?

• To ensure the result is in square units

• To make the calculation easier

• To simplify the multiplication

• To avoid errors in addition

What common factor is identified in the simplification process?

• Five

• Four

• Three

• Two

What is the final calculated area of the triangle?

• 24 square meters

• 42 square meters

• 30 square meters

• 36 square meters

What does the simplification of two over two result in?

• Three

• Zero

• One

• Two

What is emphasized by writing 12 as two times six in the simplification?

• The importance of the base

• The common factor of two

• The area formula

• The height of the triangle