Triangle Area and Properties

The video tutorial explains how to determine the base, height, and area of a triangle on a grid. It starts by identifying the base and height using the grid's measurements, then calculates the area using the formula (base * height) / 2. The tutorial also explains the derivation of the area formula by comparing the triangle to a parallelogram.

What is the side length of each small square on the grid?

• 0.5 meters

• 2 meters

• 1 meter

• 1.5 meters

Which side of the triangle is typically considered the base?

• The bottom side

• The side parallel to the grid

• The longest side

• The side with the smallest angle

How long is the base of the triangle in meters?

• 10 meters

• 9 meters

• 11 meters

• 8 meters

What is the height of the triangle in meters?

• 5 meters

• 3 meters

• 2 meters

• 4 meters

How do you calculate the area of a triangle?

• Base times height

• Base plus height

• Base times height divided by 2

• Base plus height divided by 2

What is the area of the triangle in square meters?

• 15 square meters

• 18 square meters

• 22 square meters

• 20 square meters

What shape is formed when two identical triangles are combined?

• Parallelogram

• Square

• Circle

• Rectangle

Why is the area of a triangle half of the base times height?

• Because a triangle is half of a rectangle

• Because a triangle is half of a square

• Because a triangle is half of a parallelogram

• Because a triangle is half of a circle

What is the relationship between the area of a parallelogram and a triangle?

• A triangle's area is double that of a parallelogram

• A triangle's area is the same as a parallelogram

• A triangle's area is half that of a parallelogram

• A triangle's area is one-third of a parallelogram

What factor is included in the triangle area formula to account for its shape?

• 1

• 1/3

• 1/4

• 1/2