Calculating Triangle Area Concepts

This video tutorial explains how to calculate the area of a triangle using three examples. The formula for the area is half the base times the height. The first example uses a base of 5 and a height of 10, resulting in an area of 25 cm squared. The second example emphasizes using the perpendicular height, with a base of 12 and height of 6, resulting in 36 cm squared. The third example also highlights the importance of the perpendicular height, with a base of 8 and height of 5, resulting in 20 cm squared.

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

• base * height

• base + height

• 1/2 * base * height

• 1/2 * (base + height)

In the first example, what is the area of a triangle with a base of 5 cm and a height of 10 cm?

• 30 cm²

• 20 cm²

• 25 cm²

• 50 cm²

What is the result of multiplying the base and height in the first example?

• 20

• 25

• 50

• 30

In the first example, what is the half of the product of base and height?

• 25

• 50

• 30

• 20

Why is it important to use the perpendicular height in triangle area calculations?

• It is easier to measure.

• It is the only height that works in the formula.

• It gives a larger area.

• It ensures the calculation is accurate.

In the second example, which measurement is irrelevant for calculating the area?

• None of the above

• Slant height

• Perpendicular height

• Base

What is the area of a triangle with a base of 12 cm and a perpendicular height of 6 cm?

• 24 cm²

• 48 cm²

• 36 cm²

• 72 cm²

In the second example, what is the first step taken in the calculation?

• Multiply base by height

• Divide base by 2

• Add base and height

• Multiply height by 2

What is the key takeaway from the second example?

• Always use the slant height

• The base is always the longest side

• The area is always half the perimeter

• Perpendicular height is crucial

In the third example, what is the base of the triangle?

• 5 cm

• 8 cm

• 12 cm

• 6 cm