Calculating Area and Perimeter of Triangles

This video tutorial explains how to find the perimeter and area of a triangle. It begins with a simple explanation of perimeter as the sum of all sides of a triangle. The video then transitions to the concept of area, explaining how it differs from calculating the area of a rectangle. The instructor derives the area formula for triangles by comparing it to a rectangle and demonstrates how to apply this formula using specific examples. The tutorial concludes with a summary and an additional example to reinforce the concepts.

What is the formula for the perimeter of a triangle?

• Perimeter = a * b * c

• Perimeter = a + b + c

• Perimeter = a^2 + b^2 + c^2

• Perimeter = 2a + 2b + 2c

Which statement is true about the perimeter of a triangle?

• It is always equal to twice the area

• It can only be calculated for right triangles

• It depends on the triangle's area

• It is independent of the triangle's type

How do you calculate the area of a triangle?

• Area = (base * height) / 2

• Area = (base + height) / 2

• Area = base * height

• Area = base + height

What is the significance of the '2' in the area formula for triangles?

• It signifies the base and height are squared

• It represents the number of dimensions

• It indicates the area needs to be halved

• It is used to double the calculated area

If a triangle has a base of 6 cm and a height of 2 cm, what is its area?

• 6 cm²

• 12 cm²

• 9 cm²

• 3 cm²

What happens to the area calculation if the triangle's height increases?

• The area increases

• The area doubles

• The area decreases

• The area remains the same

If the base of a triangle is doubled, how does the area change?

• The area doubles

• The area is halved

• The area quadruples

• The area remains the same

In a triangle with a base of 6 cm and height of 2 cm, what would be the area if the height is doubled?

• 6 cm²

• 18 cm²

• 12 cm²

• 24 cm²

How is the height of a triangle typically represented in diagrams?

• With a curved line

• With an arrow

• With a double solid line

• With a dotted line

If a triangle's base is 6 cm and height is 3 cm, what is the area?

• 12 cm²

• 6 cm²

• 18 cm²

• 9 cm²