Calculating Triangle Area Concepts

The video tutorial demonstrates how to calculate the area of triangles on a grid. It explains the process of identifying the base and height using grid lines and applies the formula for the area of a triangle, which is 1/2 * base * height. Two examples are provided, each with different triangle configurations, to illustrate the method. The tutorial emphasizes the importance of selecting the correct base and height for accurate calculations and uses the commutative property of multiplication to simplify the process.

What is the first step in determining the area of a triangle on a grid?

• Determining the length of the base and height

• Identifying the type of triangle

• Calculating the perimeter

• Finding the hypotenuse

Tags

CCSS.6.G.A.1

Why is it important to choose the correct side as the base of the triangle?

• To ensure the triangle is right-angled

• To easily determine the length using the grid

• To make the triangle equilateral

• To calculate the perimeter accurately

How is the height of the first triangle determined?

• By calculating the average of all sides

• By using the Pythagorean theorem

• By extending the base and measuring vertically

• By measuring the longest side

Tags

CCSS.6.G.A.1

What is the formula used to calculate the area of a triangle?

• Base * Height

• Base + Height

• 1/2 * Base * Height

• Base * Height / 3

Tags

CCSS.6.G.A.1

What is the area of the first triangle calculated in the example?

• 10 square meters

• 15 square meters

• 20 square meters

• 25 square meters

In the second example, what is the length of the base of the triangle?

• 8 meters

• 7 meters

• 6 meters

• 5 meters

How is the height of the second triangle determined?

• By calculating the average of the base and height

• By using the diagonal of the grid

• By measuring vertically from the base

• By measuring horizontally from the base

Tags

CCSS.6.G.A.1

What is the area of the second triangle calculated in the example?

• 25 square meters

• 30 square meters

• 40 square meters

• 35 square meters

Tags

CCSS.3.MD.C.7D

Why is it necessary to simplify the multiplication when calculating the area?

• To use the commutative property effectively

• To ensure accuracy

• To avoid decimal numbers

• To make the calculation faster

Tags

CCSS.6.EE.A.1

What common factor is used to simplify the multiplication in the second example?

• 2

• 5

• 4

• 3

Tags

CCSS.6.EE.A.1