Understanding Triangles and Rectangles

The video tutorial explains how to solve a geometry problem involving a rectangle and a triangle BED within it. The problem requires understanding the properties of a rectangle and 30-60-90 triangles to calculate the perimeter of triangle BED. The tutorial guides through identifying given information, applying geometric principles, and performing calculations to find the solution.

What is the length of side AB in the rectangle?

• 4

• 1

• 2

• 3

What does it mean to trisect an angle?

• Divide it into two equal parts

• Divide it into three equal parts

• Divide it into four equal parts

• Divide it into five equal parts

What is the measure of each angle when a 90-degree angle is trisected?

• 15 degrees

• 60 degrees

• 45 degrees

• 30 degrees

In a 30-60-90 triangle, what is the ratio of the sides?

• 1:1:1

• 1:√3:2

• 1:2:3

• 1:√2:2

If the shortest side of a 30-60-90 triangle is 1, what is the length of the side opposite the 60-degree angle?

• 1

• √3

• 2

• 2√3

What is the length of the hypotenuse in a 30-60-90 triangle if the shortest side is 1?

• 2√3

• 2

• √3

• 1

How do you find the length of side ED in the triangle BED?

• Divide the length of AD by AE

• Multiply the lengths of AE and AD

• Subtract the length of AE from AD

• Add the lengths of AE and AD

What is the perimeter of triangle BED?

• 5 + √3

• 3 + 2√3

• 4√3/3 + 2

• 2 + √3

Which of the following is a step in calculating the perimeter of triangle BED?

• Using the Pythagorean theorem

• Calculating the volume of the triangle

• Simplifying radicals

• Finding the area of the rectangle

What is the final expression for the perimeter of triangle BED?

• 2√3 + 3

• 5√3/3 + 2

• 4√3/3 + 2

• 3√3 + 2