Understanding Triangle Area Calculation

The video tutorial explains how to calculate the area of a triangle using two formulas: one-half base times height and base times height divided by two. It discusses different types of triangles, such as right and scalene triangles, and demonstrates that the area remains the same regardless of the triangle's shape if the base and height are equal. The tutorial provides a detailed calculation example using both formulas, simplifying fractions, and identifying common factors to find the area in square meters.

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

• Area = base * height * 2

• Area = 1/2 * base * height

• Area = base * height

• Area = base + height

Why do two triangles with the same base and height have the same area?

• Because the base and height determine the area

• Because they are the same shape

• Because they have the same perimeter

• Because they are both right triangles

What type of triangle is formed when the base and height create a right angle?

• Equilateral triangle

• Isosceles triangle

• Scalene triangle

• Right triangle

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

• 5 meters

• 6 meters

• 7 meters

• 8 meters

How is the area calculated using the formula '1/2 * base * height'?

• By multiplying base and height and then dividing by 2

• By dividing base by height

• By adding base and height

• By multiplying base and height and then multiplying by 2

Why are numbers converted to fractions during the calculation?

• To make the numbers larger

• To change the units

• To simplify the multiplication process

• To make the numbers smaller

What common factor is shared between the numbers 2 and 8 in the example?

• 3

• 2

• 4

• 5

What is the final area of the triangle calculated using the formula '1/2 * base * height'?

• 14 square meters

• 28 square meters

• 56 square meters

• 112 square meters

How does the alternative formula 'base * height / 2' relate to the original formula?

• It is equivalent to multiplying by 1/2

• It results in a different area

• It is used for different shapes

• It is a completely different method

What is the area of the triangle using the formula 'base * height / 2'?

• 14 square meters

• 56 square meters

• 112 square meters

• 28 square meters