Exploring the Area of Triangles

The video tutorial covers the concept of area, specifically focusing on triangles. It begins by explaining the area as the space an object occupies and derives the formula for the area of a triangle from the area of a rectangle. The formula is given as one-half base times height. The tutorial includes example problems to demonstrate how to apply the formula, with step-by-step calculations. Finally, it provides instructions for partner practice, encouraging students to solve problems independently and collaboratively.

What does the area of an object represent?

• Volume

• Density

• Space it occupies

• Perimeter

What is the formula for the area of a rectangle?

• 1/2 Base x Height

• Length + Width

• Base + Height

• Base x Height

What is the first step in finding the area of a triangle?

• Identify the base and height

• Find the perimeter

• Multiply base by height

• Divide the base by 2

How do you find the area of a triangle?

• 1/2 Base x Height

• Base + Height

• Length x Width

• Base x Height

Why do we divide by 2 to find the area of a triangle?

• It's a mathematical error

• Because it's half of a rectangle's area

• To simplify the calculation

• To double the area

What is the purpose of dividing the product of base and height by 2 for triangles?

• To find the perimeter

• To calculate the volume

• To double the triangle's area

• To halve the rectangle's area for the triangle

How is the height of a triangle defined in these problems?

• The perimeter divided by three

• The side length

• The longest side

• The distance from base to the opposite vertex

What is the area of a triangle with a base of 11 and height of 3?

• 6 cm squared

• 14 cm squared

• 16.5 cm squared

• 33 cm squared

If a triangle has a base of 2 and height of 5, what is its area?

• 5 cm squared

• 10 cm squared

• 2.5 cm squared

• 7.5 cm squared

For a triangle with base 50 and height 40, what is the area?

• 2000 cm squared

• 1000 cm squared

• 90 cm squared

• 450 cm squared