Parallelograms and 30-60-90 Triangles

The video tutorial explains how to find the height of a parallelogram using two different methods. The first method involves using the area and base of the parallelogram to calculate the height. The second method uses the properties of a 30-60-90 right triangle to find the height when given the sides and an angle. The tutorial provides step-by-step instructions and examples to illustrate these concepts.

What is the formula for the area of a parallelogram?

• Side squared

• Base times height

• Length times width

• Base plus height

If the base of a parallelogram is 11 units and the area is 88 square units, what is the height?

• 9 units

• 6 units

• 7 units

• 8 units

In a parallelogram, where is the height located?

• As the altitude

• As the base

• As the diagonal

• Along the side

What is created when you draw an altitude in a parallelogram?

• A square

• A rectangle

• A right triangle

• A circle

What is the short leg in a 30-60-90 triangle if the hypotenuse is 8?

• 2

• 4

• 6

• 8

In a 30-60-90 triangle, what is the relationship between the hypotenuse and the short leg?

• Hypotenuse is equal to the short leg

• Hypotenuse is twice the short leg

• Hypotenuse is half the short leg

• Hypotenuse is three times the short leg

What is the long leg of a 30-60-90 triangle if the short leg is 4?

• 6

• 8

• 4√2

• 4√3

How do you calculate the area of a parallelogram using the base and height from a 30-60-90 triangle?

• Base divided by height

• Base plus height

• Base minus height

• Base times height

If the base of a parallelogram is 10 and the height is 4√3, what is the area?

• 30√3

• 20√3

• 40√3

• 50√3

What is the significance of the 30-60-90 triangle in finding the height of a parallelogram?

• It helps find the diagonal

• It helps find the base

• It helps find the hypotenuse

• It helps find the altitude