Triangle and Area Concepts

This video tutorial covers the calculation of triangle areas, starting with the basics of using rectangles to understand the area of right triangles. It progresses to non-right triangles, demonstrating how to rearrange shapes to find their areas. The tutorial includes real-world problem-solving examples and practice problems to reinforce learning. Advanced concepts and problems are also explored, providing a comprehensive understanding of triangle area calculations.

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

• Base plus height

• Twice the base times the height

• Half the base times the height

• Base times height

When a rectangle is divided by a diagonal, what shapes are formed?

• Two right triangles

• Two squares

• Two circles

• Two parallelograms

How does the area of a triangle compare to the area of a rectangle with the same base and height?

• The triangle's area is one-third of the rectangle's area

• The triangle's area is the same as the rectangle's area

• The triangle's area is half the rectangle's area

• The triangle's area is double the rectangle's area

What is the area of a triangle with a base of 20 and a height of 8?

• 80

• 100

• 40

• 160

If a triangle has a base of 12 and a height of 5, what is its area?

• 30

• 60

• 15

• 45

How many smaller equilateral triangles make up one face of the Pyramid of Peace?

• 10

• 15

• 20

• 25

What is the total surface area of the pyramid's faces, excluding the base?

• 3,120 square meters

• 1,560 square meters

• 9,360 square meters

• 6,240 square meters

How are the areas of a triangle and a parallelogram with the same base and height related?

• The triangle's area is the same as the parallelogram's area

• The triangle's area is double the parallelogram's area

• The triangle's area is half the parallelogram's area

• The triangle's area is one-third of the parallelogram's area

If a triangle and a rectangle have the same area and base, how do their heights compare?

• The triangle's height is one-third of the rectangle's height

• The triangle's height is the same as the rectangle's height

• The triangle's height is half the rectangle's height

• The triangle's height is twice the rectangle's height

What are the possible whole number lengths for the sides of a right triangle with an area of 18 square inches?

• All of the above

• 1 and 36

• 3 and 12

• 2 and 18