Exploring the Area of a Triangle

This video tutorial covers the formula for calculating the area of a triangle, emphasizing the relationship between base and height. It includes examples of calculating areas for various triangles, identifying corresponding heights in right triangles, and finding the area of a shaded triangle through decomposition. The tutorial also explores properties of triangles within a parallelogram and concludes with estimating and calculating the area of an octagon.

Which triangles correctly identify the height at a right angle to the base?

• A, B, D, F

• A, B, C, D

• A, C, D, E

• B, C, D, E

What is the area of triangle A if the base is 4 units and the height is 6 units?

• 20 square units

• 18 square units

• 24 square units

• 12 square units

What is the area of triangle B if the base is 8 units and the height is 4 units?

• 24 square units

• 16 square units

• 32 square units

• 12 square units

How is the area of a triangle related to its base and height?

• Area equals half of base times height

• Area equals base times height

• Area equals base plus height

• Area equals twice the base times height

If the base of a right triangle is side D, what is the corresponding height?

• Side E

• Side F

• Side G

• Side H

If the base of the triangle is side E, what would be the corresponding height?

• Side G

• Side F

• Side H

• Side D

What is the area of the shaded triangle if both the base and height are 6 units?

• 12 square units

• 24 square units

• 36 square units

• 18 square units

Do the two triangles formed by a diagonal in a parallelogram have the same area?

• Yes

• No

• Only if the parallelogram is a square

• Only if the parallelogram is a rectangle

What is the area of the octagon if the original square is 10 by 10 units?

• 82 square units

• 100 square units

• 90 square units

• 95 square units

How much area is removed from the original square to form the octagon?

• 25 square units

• 15 square units

• 20 square units

• 18 square units