How to use special right triangles to determine the area of a parallelogram

The video tutorial explains how to calculate the area of a parallelogram by identifying its base and height. It introduces the concept of using special right triangles, specifically the 45-45-90 triangle, to determine the height when given certain measurements. The tutorial emphasizes the importance of understanding the relationship between angles and side lengths in these triangles and demonstrates the calculation process step-by-step.

What is the formula for the area of a parallelogram?

• Height times width

• Length times width

• Side squared

• Base times height

In a 45-45-90 triangle, if one leg is 'x', what is the length of the hypotenuse?

• x / sqrt(2)

• x * sqrt(2)

• x

• x * 2

How do you find the height of a parallelogram using a 45-45-90 triangle?

• Add the base and height

• Divide the given length by sqrt(2)

• Subtract the base from the hypotenuse

• Multiply the base by sqrt(2)

If the hypotenuse of a 45-45-90 triangle is 5 * sqrt(2), what is the length of each leg?

• 5

• 5 * sqrt(2)

• 10

• 2.5

What is the area of a parallelogram with a base of 7 and a height of 3?

• 10

• 14

• 21

• 24