Properties of Triangles and Perimeter

The video tutorial explains how to find the perimeter of an equilateral triangle. It starts with the basic method of adding the lengths of the three equal sides or multiplying one side by three. The tutorial then progresses to a more complex scenario where the altitude is given instead of the side length. It demonstrates how to use the properties of a 30-60-90 triangle to find the side length and calculate the perimeter.

What is an equilateral triangle?

• A triangle with one right angle

• A triangle with two equal sides

• A triangle with three equal sides

• A triangle with no equal sides

How do you calculate the perimeter of an equilateral triangle?

• Multiply the length of one side by 3

• Multiply the length of one side by 2

• Add the lengths of two sides

• Add the lengths of all sides

If each side of an equilateral triangle is 12 units, what is its perimeter?

• 60 units

• 48 units

• 36 units

• 24 units

What is the altitude in a triangle?

• A line segment bisecting an angle

• The shortest side of the triangle

• A line segment from a vertex perpendicular to the opposite side

• The longest side of the triangle

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

• The long side is equal to the short side

• The long side is half the short side

• The long side is the square root of 3 times the short side

• The long side is twice the short side

How do you find the short side of a 30-60-90 triangle if the long side is known?

• Multiply the long side by 2

• Multiply the long side by the square root of 3

• Divide the long side by 2

• Divide the long side by the square root of 3

What is the significance of the 30-degree angle in a 30-60-90 triangle?

• It is the angle opposite the longest side

• It is equal to the right angle

• It is the smallest angle

• It is the largest angle

If the altitude of an equilateral triangle is 12, what is the length of one side?

• 16 units

• 4√3 units

• 8√3 units

• 12 units

What is the perimeter of an equilateral triangle with a side length of 8√3?

• 40√3

• 16√3

• 32√3

• 24√3

What is the final step in calculating the perimeter of an equilateral triangle when the side length is known?

• Subtract the side length from the perimeter

• Divide the side length by 3

• Multiply the side length by 3

• Add the lengths of all sides