Understanding the Area of an Equilateral Triangle

The video tutorial explains how to find the area of an equilateral triangle using a specific formula. It begins with an introduction to the concept and the use of 30-60-90 triangle rules to derive the formula. The formula for the area is given as (√3/4) * s^2, where 's' is the side length of the triangle. The tutorial then demonstrates how to apply this formula with a side length of 6, showing the step-by-step calculation process. The result is simplified to find the area, and the video concludes with a summary of the method.

What is the purpose of using 30-60-90 rules in finding the area of an equilateral triangle?

• To find the perimeter of the triangle

• To determine the type of triangle

• To draw the altitude and find the height

• To calculate the volume of the triangle

Which formula is used to find the area of an equilateral triangle?

• Area = s^2

• Area = 1/2 * base * height

• Area = s^3

• Area = (sqrt(3)/4) * s^2

If the side of an equilateral triangle is 6, what is the first step in calculating its area?

• Multiply the side by 3

• Add the side to itself

• Square the side length

• Divide the side by 2

What is the result of squaring the side length of 6 in the area calculation?

• 12

• 36

• 18

• 24

How do you simplify the expression 36 * (sqrt(3)/4) in the area calculation?

• Add 36 to 4

• Divide 36 by 4

• Multiply 36 by 4

• Divide 36 by 3

What is the final area of the equilateral triangle with side length 6?

• 12 square units

• 9 * sqrt(3) square units

• 24 square units

• 18 square units

Why are the units of area always squared?

• Because area is a two-dimensional measure

• Because it is easier to calculate

• Because it involves multiplication

• Because it is a rule of geometry