Understanding the Perimeter of an Equilateral Triangle

The video tutorial explains how to find the perimeter of an equilateral triangle using two methods. The first method is straightforward, multiplying the side length by three. The second method involves using the altitude of the triangle, which divides it into two 30-60-90 right triangles. By calculating the side length from the altitude, the perimeter can be determined. The tutorial provides step-by-step instructions for both methods, ensuring a clear understanding of the concepts.

What is the formula to find the perimeter of an equilateral triangle when the side length is known?

• 2 * s

• 3 * s

• s * s

• s + s

If an equilateral triangle has a side length of 4, what is its perimeter?

• 8

• 10

• 16

• 12

What additional information is given in the complex problem compared to the simple one?

• The angle

• The side length

• The height

• The area

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

• The longer leg is the shorter leg times the square root of 3

• The longer leg is the same as the shorter leg

• The longer leg is twice the shorter leg

• The longer leg is half the shorter leg

How do you find the side length of an equilateral triangle if the height is given?

• Add the height to the base

• Divide the height by the square root of 3 and then double it

• Subtract the height from the base

• Multiply the height by 2

What type of triangles are formed when the altitude of an equilateral triangle is drawn?

• Isosceles triangles

• Equilateral triangles

• 30-60-90 triangles

• 45-45-90 triangles

What is the significance of the altitude in an equilateral triangle?

• It forms a 45-degree angle with the base

• It divides the triangle into two equal parts

• It is equal to the side length

• It is the same as the perimeter

What is the final step in calculating the perimeter once the side length is found?

• Divide the side length by 3

• Multiply the side length by 3

• Add the side length to the height

• Subtract the side length from the height

If the height of an equilateral triangle is 6, what is the length of one side?

• 3√2

• 4√3

• 6

• 2√3

What is the perimeter of an equilateral triangle with a side length of 4√3?

• 10√3

• 6√3

• 8√3

• 12√3