Understanding Trapezoid Area Calculation

This video tutorial explains how to calculate the area of a trapezoid using its bases and height. It begins with a straightforward example where the height and bases are given, and the area is calculated by adding the bases, multiplying by the height, and taking half of the result. The tutorial then introduces a more complex scenario involving a 30-60-90 triangle to determine the height when the altitude is not directly given. The video demonstrates how to use the properties of a 30-60-90 triangle to find the height and then calculate the trapezoid's area using the same formula.

What are the given values for the height and bases in the initial trapezoid problem?

• Height: 12, Bases: 10 and 16

• Height: 10, Bases: 12 and 16

• Height: 10, Bases: 14 and 18

• Height: 16, Bases: 10 and 12

How do you calculate the area of a trapezoid using the given height and bases?

• Add the bases, multiply by height, divide by 2

• Add the bases, multiply by height, multiply by 2

• Multiply the bases, subtract height, divide by 2

• Multiply the bases, add height, divide by 2

What is the mid-segment length when averaging the bases 12 and 16?

• 12

• 14

• 16

• 18

In the new problem, what additional information is provided besides the bases?

• Height of the trapezoid

• Length of the leg

• Area of the trapezoid

• Perimeter of the trapezoid

Why can't the leg length be used directly as the height in the new problem?

• It's shorter than the bases

• It's not perpendicular to the bases

• It's longer than the bases

• It's equal to the bases

What type of triangle is used to find the height in the new problem?

• Isosceles triangle

• 30-60-90 triangle

• 45-45-90 triangle

• Equilateral triangle

What is the rule for finding the short leg in a 30-60-90 triangle?

• Equal to the hypotenuse

• Twice the hypotenuse

• Half of the hypotenuse

• Three times the hypotenuse

What is the calculated height of the trapezoid using the 30-60-90 triangle?

• 2√3

• 3√2

• 4√3

• 5√2

What is the final area of the trapezoid in the new problem?

• 12√3 units squared

• 16√3 units squared

• 28√3 units squared

• 14√3 units squared

What is the formula used to calculate the area of a trapezoid?

• (Base1 + Base2) * Height / 2

• (Base1 * Base2) + Height / 2

• (Base1 + Base2) / Height * 2

• (Base1 * Base2) / Height * 2